diff options
Diffstat (limited to 'src/hyper/pages/MATRIX.pht')
| -rw-r--r-- | src/hyper/pages/MATRIX.pht | 771 |
1 files changed, 771 insertions, 0 deletions
diff --git a/src/hyper/pages/MATRIX.pht b/src/hyper/pages/MATRIX.pht new file mode 100644 index 00000000..4c5d611a --- /dev/null +++ b/src/hyper/pages/MATRIX.pht @@ -0,0 +1,771 @@ +\begin{patch}{ugxMatrixOpsPagePatch1} +\begin{paste}{ugxMatrixOpsPageFull1}{ugxMatrixOpsPageEmpty1} +\pastebutton{ugxMatrixOpsPageFull1}{\hidepaste} +\tab{5}\spadcommand{m := matrix [[1,2],[3,4]]\bound{m }} +\indentrel{3}\begin{verbatim} + Ú1 2¿ + (1) ³ ³ + À3 4Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty1} +\begin{paste}{ugxMatrixOpsPageEmpty1}{ugxMatrixOpsPagePatch1} +\pastebutton{ugxMatrixOpsPageEmpty1}{\showpaste} +\tab{5}\spadcommand{m := matrix [[1,2],[3,4]]\bound{m }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch2} +\begin{paste}{ugxMatrixOpsPageFull2}{ugxMatrixOpsPageEmpty2} +\pastebutton{ugxMatrixOpsPageFull2}{\hidepaste} +\tab{5}\spadcommand{4 * m * (-5)\free{m }} +\indentrel{3}\begin{verbatim} + Ú- 20 - 40¿ + (2) ³ ³ + À- 60 - 80Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty2} +\begin{paste}{ugxMatrixOpsPageEmpty2}{ugxMatrixOpsPagePatch2} +\pastebutton{ugxMatrixOpsPageEmpty2}{\showpaste} +\tab{5}\spadcommand{4 * m * (-5)\free{m }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch3} +\begin{paste}{ugxMatrixOpsPageFull3}{ugxMatrixOpsPageEmpty3} +\pastebutton{ugxMatrixOpsPageFull3}{\hidepaste} +\tab{5}\spadcommand{n := matrix([[1,0,-2],[-3,5,1]])\bound{n }} +\indentrel{3}\begin{verbatim} + Ú 1 0 - 2¿ + (3) ³ ³ + À- 3 5 1 Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty3} +\begin{paste}{ugxMatrixOpsPageEmpty3}{ugxMatrixOpsPagePatch3} +\pastebutton{ugxMatrixOpsPageEmpty3}{\showpaste} +\tab{5}\spadcommand{n := matrix([[1,0,-2],[-3,5,1]])\bound{n }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch4} +\begin{paste}{ugxMatrixOpsPageFull4}{ugxMatrixOpsPageEmpty4} +\pastebutton{ugxMatrixOpsPageFull4}{\hidepaste} +\tab{5}\spadcommand{m * n\free{m n }} +\indentrel{3}\begin{verbatim} + Ú- 5 10 0 ¿ + (4) ³ ³ + À- 9 20 - 2Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty4} +\begin{paste}{ugxMatrixOpsPageEmpty4}{ugxMatrixOpsPagePatch4} +\pastebutton{ugxMatrixOpsPageEmpty4}{\showpaste} +\tab{5}\spadcommand{m * n\free{m n }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch5} +\begin{paste}{ugxMatrixOpsPageFull5}{ugxMatrixOpsPageEmpty5} +\pastebutton{ugxMatrixOpsPageFull5}{\hidepaste} +\tab{5}\spadcommand{vec := column(n,3)\free{n }\bound{vec }} +\indentrel{3}\begin{verbatim} + (5) [- 2,1] + Type: Vector Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty5} +\begin{paste}{ugxMatrixOpsPageEmpty5}{ugxMatrixOpsPagePatch5} +\pastebutton{ugxMatrixOpsPageEmpty5}{\showpaste} +\tab{5}\spadcommand{vec := column(n,3)\free{n }\bound{vec }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch6} +\begin{paste}{ugxMatrixOpsPageFull6}{ugxMatrixOpsPageEmpty6} +\pastebutton{ugxMatrixOpsPageFull6}{\hidepaste} +\tab{5}\spadcommand{vec * m\free{vec m }} +\indentrel{3}\begin{verbatim} + (6) [1,0] + Type: Vector Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty6} +\begin{paste}{ugxMatrixOpsPageEmpty6}{ugxMatrixOpsPagePatch6} +\pastebutton{ugxMatrixOpsPageEmpty6}{\showpaste} +\tab{5}\spadcommand{vec * m\free{vec m }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch7} +\begin{paste}{ugxMatrixOpsPageFull7}{ugxMatrixOpsPageEmpty7} +\pastebutton{ugxMatrixOpsPageFull7}{\hidepaste} +\tab{5}\spadcommand{m * vec\free{vec m }} +\indentrel{3}\begin{verbatim} + (7) [0,- 2] + Type: Vector Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty7} +\begin{paste}{ugxMatrixOpsPageEmpty7}{ugxMatrixOpsPagePatch7} +\pastebutton{ugxMatrixOpsPageEmpty7}{\showpaste} +\tab{5}\spadcommand{m * vec\free{vec m }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch8} +\begin{paste}{ugxMatrixOpsPageFull8}{ugxMatrixOpsPageEmpty8} +\pastebutton{ugxMatrixOpsPageFull8}{\hidepaste} +\tab{5}\spadcommand{hilb := matrix([[1/(i + j) for i in 1..3] for j in 1..3])\bound{hilb }} +\indentrel{3}\begin{verbatim} + Ú1 1 1¿ + ³Ä Ä Ä³ + ³2 3 4³ + ³ ³ + ³1 1 1³ + (8) ³Ä Ä Ä³ + ³3 4 5³ + ³ ³ + ³1 1 1³ + ³Ä Ä Ä³ + À4 5 6Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty8} +\begin{paste}{ugxMatrixOpsPageEmpty8}{ugxMatrixOpsPagePatch8} +\pastebutton{ugxMatrixOpsPageEmpty8}{\showpaste} +\tab{5}\spadcommand{hilb := matrix([[1/(i + j) for i in 1..3] for j in 1..3])\bound{hilb }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch9} +\begin{paste}{ugxMatrixOpsPageFull9}{ugxMatrixOpsPageEmpty9} +\pastebutton{ugxMatrixOpsPageFull9}{\hidepaste} +\tab{5}\spadcommand{inverse(hilb)\free{hilb }} +\indentrel{3}\begin{verbatim} + Ú 72 - 240 180 ¿ + ³ ³ + (9) ³- 240 900 - 720³ + ³ ³ + À 180 - 720 600 Ù + Type: Union(Matrix Fraction Integer,...) +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty9} +\begin{paste}{ugxMatrixOpsPageEmpty9}{ugxMatrixOpsPagePatch9} +\pastebutton{ugxMatrixOpsPageEmpty9}{\showpaste} +\tab{5}\spadcommand{inverse(hilb)\free{hilb }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch10} +\begin{paste}{ugxMatrixOpsPageFull10}{ugxMatrixOpsPageEmpty10} +\pastebutton{ugxMatrixOpsPageFull10}{\hidepaste} +\tab{5}\spadcommand{mm := matrix([[1,2,3,4], [5,6,7,8], [9,10,11,12], [13,14,15,16]])\bound{mm }} +\indentrel{3}\begin{verbatim} + Ú1 2 3 4 ¿ + ³ ³ + ³5 6 7 8 ³ + (10) ³ ³ + ³9 10 11 12³ + ³ ³ + À13 14 15 16Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty10} +\begin{paste}{ugxMatrixOpsPageEmpty10}{ugxMatrixOpsPagePatch10} +\pastebutton{ugxMatrixOpsPageEmpty10}{\showpaste} +\tab{5}\spadcommand{mm := matrix([[1,2,3,4], [5,6,7,8], [9,10,11,12], [13,14,15,16]])\bound{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch11} +\begin{paste}{ugxMatrixOpsPageFull11}{ugxMatrixOpsPageEmpty11} +\pastebutton{ugxMatrixOpsPageFull11}{\hidepaste} +\tab{5}\spadcommand{inverse(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (11) "failed" + Type: Union("failed",...) +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty11} +\begin{paste}{ugxMatrixOpsPageEmpty11}{ugxMatrixOpsPagePatch11} +\pastebutton{ugxMatrixOpsPageEmpty11}{\showpaste} +\tab{5}\spadcommand{inverse(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch12} +\begin{paste}{ugxMatrixOpsPageFull12}{ugxMatrixOpsPageEmpty12} +\pastebutton{ugxMatrixOpsPageFull12}{\hidepaste} +\tab{5}\spadcommand{determinant(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (12) 0 + Type: NonNegativeInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty12} +\begin{paste}{ugxMatrixOpsPageEmpty12}{ugxMatrixOpsPagePatch12} +\pastebutton{ugxMatrixOpsPageEmpty12}{\showpaste} +\tab{5}\spadcommand{determinant(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch13} +\begin{paste}{ugxMatrixOpsPageFull13}{ugxMatrixOpsPageEmpty13} +\pastebutton{ugxMatrixOpsPageFull13}{\hidepaste} +\tab{5}\spadcommand{trace(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (13) 34 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty13} +\begin{paste}{ugxMatrixOpsPageEmpty13}{ugxMatrixOpsPagePatch13} +\pastebutton{ugxMatrixOpsPageEmpty13}{\showpaste} +\tab{5}\spadcommand{trace(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch14} +\begin{paste}{ugxMatrixOpsPageFull14}{ugxMatrixOpsPageEmpty14} +\pastebutton{ugxMatrixOpsPageFull14}{\hidepaste} +\tab{5}\spadcommand{rank(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (14) 2 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty14} +\begin{paste}{ugxMatrixOpsPageEmpty14}{ugxMatrixOpsPagePatch14} +\pastebutton{ugxMatrixOpsPageEmpty14}{\showpaste} +\tab{5}\spadcommand{rank(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch15} +\begin{paste}{ugxMatrixOpsPageFull15}{ugxMatrixOpsPageEmpty15} +\pastebutton{ugxMatrixOpsPageFull15}{\hidepaste} +\tab{5}\spadcommand{nullity(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (15) 2 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty15} +\begin{paste}{ugxMatrixOpsPageEmpty15}{ugxMatrixOpsPagePatch15} +\pastebutton{ugxMatrixOpsPageEmpty15}{\showpaste} +\tab{5}\spadcommand{nullity(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch16} +\begin{paste}{ugxMatrixOpsPageFull16}{ugxMatrixOpsPageEmpty16} +\pastebutton{ugxMatrixOpsPageFull16}{\hidepaste} +\tab{5}\spadcommand{nullSpace(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + (16) [[1,- 2,1,0],[2,- 3,0,1]] + Type: List Vector Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty16} +\begin{paste}{ugxMatrixOpsPageEmpty16}{ugxMatrixOpsPagePatch16} +\pastebutton{ugxMatrixOpsPageEmpty16}{\showpaste} +\tab{5}\spadcommand{nullSpace(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPagePatch17} +\begin{paste}{ugxMatrixOpsPageFull17}{ugxMatrixOpsPageEmpty17} +\pastebutton{ugxMatrixOpsPageFull17}{\hidepaste} +\tab{5}\spadcommand{rowEchelon(mm)\free{mm }} +\indentrel{3}\begin{verbatim} + Ú1 2 3 4 ¿ + ³ ³ + ³0 4 8 12³ + (17) ³ ³ + ³0 0 0 0 ³ + ³ ³ + À0 0 0 0 Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixOpsPageEmpty17} +\begin{paste}{ugxMatrixOpsPageEmpty17}{ugxMatrixOpsPagePatch17} +\pastebutton{ugxMatrixOpsPageEmpty17}{\showpaste} +\tab{5}\spadcommand{rowEchelon(mm)\free{mm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch1} +\begin{paste}{ugxMatrixCreatePageFull1}{ugxMatrixCreatePageEmpty1} +\pastebutton{ugxMatrixCreatePageFull1}{\hidepaste} +\tab{5}\spadcommand{m : Matrix(Integer) := new(3,3,0)\bound{m }} +\indentrel{3}\begin{verbatim} + Ú0 0 0¿ + ³ ³ + (1) ³0 0 0³ + ³ ³ + À0 0 0Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty1} +\begin{paste}{ugxMatrixCreatePageEmpty1}{ugxMatrixCreatePagePatch1} +\pastebutton{ugxMatrixCreatePageEmpty1}{\showpaste} +\tab{5}\spadcommand{m : Matrix(Integer) := new(3,3,0)\bound{m }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch2} +\begin{paste}{ugxMatrixCreatePageFull2}{ugxMatrixCreatePageEmpty2} +\pastebutton{ugxMatrixCreatePageFull2}{\hidepaste} +\tab{5}\spadcommand{setelt(m,2,3,5)\free{m }\bound{m1 }} +\indentrel{3}\begin{verbatim} + (2) 5 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty2} +\begin{paste}{ugxMatrixCreatePageEmpty2}{ugxMatrixCreatePagePatch2} +\pastebutton{ugxMatrixCreatePageEmpty2}{\showpaste} +\tab{5}\spadcommand{setelt(m,2,3,5)\free{m }\bound{m1 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch3} +\begin{paste}{ugxMatrixCreatePageFull3}{ugxMatrixCreatePageEmpty3} +\pastebutton{ugxMatrixCreatePageFull3}{\hidepaste} +\tab{5}\spadcommand{m(1,2) := 10\free{m1 }\bound{m2 }} +\indentrel{3}\begin{verbatim} + (3) 10 + Type: PositiveInteger +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty3} +\begin{paste}{ugxMatrixCreatePageEmpty3}{ugxMatrixCreatePagePatch3} +\pastebutton{ugxMatrixCreatePageEmpty3}{\showpaste} +\tab{5}\spadcommand{m(1,2) := 10\free{m1 }\bound{m2 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch4} +\begin{paste}{ugxMatrixCreatePageFull4}{ugxMatrixCreatePageEmpty4} +\pastebutton{ugxMatrixCreatePageFull4}{\hidepaste} +\tab{5}\spadcommand{m\free{m2 }} +\indentrel{3}\begin{verbatim} + Ú0 10 0¿ + ³ ³ + (4) ³0 0 5³ + ³ ³ + À0 0 0Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty4} +\begin{paste}{ugxMatrixCreatePageEmpty4}{ugxMatrixCreatePagePatch4} +\pastebutton{ugxMatrixCreatePageEmpty4}{\showpaste} +\tab{5}\spadcommand{m\free{m2 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch5} +\begin{paste}{ugxMatrixCreatePageFull5}{ugxMatrixCreatePageEmpty5} +\pastebutton{ugxMatrixCreatePageFull5}{\hidepaste} +\tab{5}\spadcommand{matrix [[1,2,3,4],[0,9,8,7]]} +\indentrel{3}\begin{verbatim} + Ú1 2 3 4¿ + (5) ³ ³ + À0 9 8 7Ù + Type: Matrix Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty5} +\begin{paste}{ugxMatrixCreatePageEmpty5}{ugxMatrixCreatePagePatch5} +\pastebutton{ugxMatrixCreatePageEmpty5}{\showpaste} +\tab{5}\spadcommand{matrix [[1,2,3,4],[0,9,8,7]]} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch6} +\begin{paste}{ugxMatrixCreatePageFull6}{ugxMatrixCreatePageEmpty6} +\pastebutton{ugxMatrixCreatePageFull6}{\hidepaste} +\tab{5}\spadcommand{dm := diagonalMatrix [1,x**2,x**3,x**4,x**5]\bound{dm }} +\indentrel{3}\begin{verbatim} + Ú1 0 0 0 0 ¿ + ³ ³ + ³ 2 ³ + ³0 x 0 0 0 ³ + ³ ³ + ³ 3 ³ + (6) ³0 0 x 0 0 ³ + ³ ³ + ³ 4 ³ + ³0 0 0 x 0 ³ + ³ ³ + ³ 5³ + À0 0 0 0 x Ù + Type: Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty6} +\begin{paste}{ugxMatrixCreatePageEmpty6}{ugxMatrixCreatePagePatch6} +\pastebutton{ugxMatrixCreatePageEmpty6}{\showpaste} +\tab{5}\spadcommand{dm := diagonalMatrix [1,x**2,x**3,x**4,x**5]\bound{dm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch7} +\begin{paste}{ugxMatrixCreatePageFull7}{ugxMatrixCreatePageEmpty7} +\pastebutton{ugxMatrixCreatePageFull7}{\hidepaste} +\tab{5}\spadcommand{setRow!(dm,5,vector [1,1,1,1,1])\free{dm }\bound{dm1 }} +\indentrel{3}\begin{verbatim} + Ú1 0 0 0 0¿ + ³ ³ + ³ 2 ³ + ³0 x 0 0 0³ + ³ ³ + (7) ³ 3 ³ + ³0 0 x 0 0³ + ³ ³ + ³ 4 ³ + ³0 0 0 x 0³ + ³ ³ + À1 1 1 1 1Ù + Type: Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty7} +\begin{paste}{ugxMatrixCreatePageEmpty7}{ugxMatrixCreatePagePatch7} +\pastebutton{ugxMatrixCreatePageEmpty7}{\showpaste} +\tab{5}\spadcommand{setRow!(dm,5,vector [1,1,1,1,1])\free{dm }\bound{dm1 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch8} +\begin{paste}{ugxMatrixCreatePageFull8}{ugxMatrixCreatePageEmpty8} +\pastebutton{ugxMatrixCreatePageFull8}{\hidepaste} +\tab{5}\spadcommand{setColumn!(dm,2,vector [y,y,y,y,y])\free{dm1 }\bound{dm2 }} +\indentrel{3}\begin{verbatim} + Ú1 y 0 0 0¿ + ³ ³ + ³0 y 0 0 0³ + ³ ³ + ³ 3 ³ + (8) ³0 y x 0 0³ + ³ ³ + ³ 4 ³ + ³0 y 0 x 0³ + ³ ³ + À1 y 1 1 1Ù + Type: Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty8} +\begin{paste}{ugxMatrixCreatePageEmpty8}{ugxMatrixCreatePagePatch8} +\pastebutton{ugxMatrixCreatePageEmpty8}{\showpaste} +\tab{5}\spadcommand{setColumn!(dm,2,vector [y,y,y,y,y])\free{dm1 }\bound{dm2 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch9} +\begin{paste}{ugxMatrixCreatePageFull9}{ugxMatrixCreatePageEmpty9} +\pastebutton{ugxMatrixCreatePageFull9}{\hidepaste} +\tab{5}\spadcommand{cdm := copy(dm)\free{dm2 }\bound{cdm }} +\indentrel{3}\begin{verbatim} + Ú1 y 0 0 0¿ + ³ ³ + ³0 y 0 0 0³ + ³ ³ + ³ 3 ³ + (9) ³0 y x 0 0³ + ³ ³ + ³ 4 ³ + ³0 y 0 x 0³ + ³ ³ + À1 y 1 1 1Ù + Type: Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty9} +\begin{paste}{ugxMatrixCreatePageEmpty9}{ugxMatrixCreatePagePatch9} +\pastebutton{ugxMatrixCreatePageEmpty9}{\showpaste} +\tab{5}\spadcommand{cdm := copy(dm)\free{dm2 }\bound{cdm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch10} +\begin{paste}{ugxMatrixCreatePageFull10}{ugxMatrixCreatePageEmpty10} +\pastebutton{ugxMatrixCreatePageFull10}{\hidepaste} +\tab{5}\spadcommand{setelt(dm,4,1,1-x**7)\free{dm2 }\bound{setdm }} +\indentrel{3}\begin{verbatim} + 7 + (10) - x + 1 + Type: Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty10} +\begin{paste}{ugxMatrixCreatePageEmpty10}{ugxMatrixCreatePagePatch10} +\pastebutton{ugxMatrixCreatePageEmpty10}{\showpaste} +\tab{5}\spadcommand{setelt(dm,4,1,1-x**7)\free{dm2 }\bound{setdm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch11} +\begin{paste}{ugxMatrixCreatePageFull11}{ugxMatrixCreatePageEmpty11} +\pastebutton{ugxMatrixCreatePageFull11}{\hidepaste} +\tab{5}\spadcommand{[dm,cdm]\free{setdm cdm }} +\indentrel{3}\begin{verbatim} + Ú 1 y 0 0 0¿ Ú1 y 0 0 0¿ + ³ ³ ³ ³ + ³ 0 y 0 0 0³ ³0 y 0 0 0³ + ³ ³ ³ ³ + ³ 3 ³ ³ 3 ³ + (11) [³ 0 y x 0 0³,³0 y x 0 0³] + ³ ³ ³ ³ + ³ 7 4 ³ ³ 4 ³ + ³- x + 1 y 0 x 0³ ³0 y 0 x 0³ + ³ ³ ³ ³ + À 1 y 1 1 1Ù À1 y 1 1 1Ù + Type: List Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty11} +\begin{paste}{ugxMatrixCreatePageEmpty11}{ugxMatrixCreatePagePatch11} +\pastebutton{ugxMatrixCreatePageEmpty11}{\showpaste} +\tab{5}\spadcommand{[dm,cdm]\free{setdm cdm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch12} +\begin{paste}{ugxMatrixCreatePageFull12}{ugxMatrixCreatePageEmpty12} +\pastebutton{ugxMatrixCreatePageFull12}{\hidepaste} +\tab{5}\spadcommand{subMatrix(dm,2,3,2,4)\free{setdm }} +\indentrel{3}\begin{verbatim} + Úy 0 0¿ + (12) ³ ³ + ³ 3 ³ + Ày x 0Ù + Type: Matrix Polynomial Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty12} +\begin{paste}{ugxMatrixCreatePageEmpty12}{ugxMatrixCreatePagePatch12} +\pastebutton{ugxMatrixCreatePageEmpty12}{\showpaste} +\tab{5}\spadcommand{subMatrix(dm,2,3,2,4)\free{setdm }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch13} +\begin{paste}{ugxMatrixCreatePageFull13}{ugxMatrixCreatePageEmpty13} +\pastebutton{ugxMatrixCreatePageFull13}{\hidepaste} +\tab{5}\spadcommand{d := diagonalMatrix [1.2,-1.3,1.4,-1.5]\bound{d }} +\indentrel{3}\begin{verbatim} + Ú1.2 0.0 0.0 0.0 ¿ + ³ ³ + ³0.0 - 1.3 0.0 0.0 ³ + (13) ³ ³ + ³0.0 0.0 1.4 0.0 ³ + ³ ³ + À0.0 0.0 0.0 - 1.5Ù + Type: Matrix Float +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty13} +\begin{paste}{ugxMatrixCreatePageEmpty13}{ugxMatrixCreatePagePatch13} +\pastebutton{ugxMatrixCreatePageEmpty13}{\showpaste} +\tab{5}\spadcommand{d := diagonalMatrix [1.2,-1.3,1.4,-1.5]\bound{d }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch14} +\begin{paste}{ugxMatrixCreatePageFull14}{ugxMatrixCreatePageEmpty14} +\pastebutton{ugxMatrixCreatePageFull14}{\hidepaste} +\tab{5}\spadcommand{e := matrix [[6.7,9.11],[-31.33,67.19]]\bound{e }} +\indentrel{3}\begin{verbatim} + Ú 6.7 9.11 ¿ + (14) ³ ³ + À- 31.33 67.19Ù + Type: Matrix Float +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty14} +\begin{paste}{ugxMatrixCreatePageEmpty14}{ugxMatrixCreatePagePatch14} +\pastebutton{ugxMatrixCreatePageEmpty14}{\showpaste} +\tab{5}\spadcommand{e := matrix [[6.7,9.11],[-31.33,67.19]]\bound{e }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch15} +\begin{paste}{ugxMatrixCreatePageFull15}{ugxMatrixCreatePageEmpty15} +\pastebutton{ugxMatrixCreatePageFull15}{\hidepaste} +\tab{5}\spadcommand{setsubMatrix!(d,1,2,e)\free{d e }\bound{d1 }} +\indentrel{3}\begin{verbatim} + Ú1.2 6.7 9.11 0.0 ¿ + ³ ³ + ³0.0 - 31.33 67.19 0.0 ³ + (15) ³ ³ + ³0.0 0.0 1.4 0.0 ³ + ³ ³ + À0.0 0.0 0.0 - 1.5Ù + Type: Matrix Float +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty15} +\begin{paste}{ugxMatrixCreatePageEmpty15}{ugxMatrixCreatePagePatch15} +\pastebutton{ugxMatrixCreatePageEmpty15}{\showpaste} +\tab{5}\spadcommand{setsubMatrix!(d,1,2,e)\free{d e }\bound{d1 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch16} +\begin{paste}{ugxMatrixCreatePageFull16}{ugxMatrixCreatePageEmpty16} +\pastebutton{ugxMatrixCreatePageFull16}{\hidepaste} +\tab{5}\spadcommand{d\free{d1 }} +\indentrel{3}\begin{verbatim} + Ú1.2 6.7 9.11 0.0 ¿ + ³ ³ + ³0.0 - 31.33 67.19 0.0 ³ + (16) ³ ³ + ³0.0 0.0 1.4 0.0 ³ + ³ ³ + À0.0 0.0 0.0 - 1.5Ù + Type: Matrix Float +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty16} +\begin{paste}{ugxMatrixCreatePageEmpty16}{ugxMatrixCreatePagePatch16} +\pastebutton{ugxMatrixCreatePageEmpty16}{\showpaste} +\tab{5}\spadcommand{d\free{d1 }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch17} +\begin{paste}{ugxMatrixCreatePageFull17}{ugxMatrixCreatePageEmpty17} +\pastebutton{ugxMatrixCreatePageFull17}{\hidepaste} +\tab{5}\spadcommand{a := matrix [[1/2,1/3,1/4],[1/5,1/6,1/7]]\bound{a }} +\indentrel{3}\begin{verbatim} + Ú1 1 1¿ + ³Ä Ä Ä³ + ³2 3 4³ + (17) ³ ³ + ³1 1 1³ + ³Ä Ä Ä³ + À5 6 7Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty17} +\begin{paste}{ugxMatrixCreatePageEmpty17}{ugxMatrixCreatePagePatch17} +\pastebutton{ugxMatrixCreatePageEmpty17}{\showpaste} +\tab{5}\spadcommand{a := matrix [[1/2,1/3,1/4],[1/5,1/6,1/7]]\bound{a }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch18} +\begin{paste}{ugxMatrixCreatePageFull18}{ugxMatrixCreatePageEmpty18} +\pastebutton{ugxMatrixCreatePageFull18}{\hidepaste} +\tab{5}\spadcommand{b := matrix [[3/5,3/7,3/11],[3/13,3/17,3/19]]\bound{b }} +\indentrel{3}\begin{verbatim} + Ú3 3 3¿ + ³Ä Ä Äij + ³5 7 11³ + (18) ³ ³ + ³ 3 3 3³ + ³ÄÄ ÄÄ Äij + À13 17 19Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty18} +\begin{paste}{ugxMatrixCreatePageEmpty18}{ugxMatrixCreatePagePatch18} +\pastebutton{ugxMatrixCreatePageEmpty18}{\showpaste} +\tab{5}\spadcommand{b := matrix [[3/5,3/7,3/11],[3/13,3/17,3/19]]\bound{b }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch19} +\begin{paste}{ugxMatrixCreatePageFull19}{ugxMatrixCreatePageEmpty19} +\pastebutton{ugxMatrixCreatePageFull19}{\hidepaste} +\tab{5}\spadcommand{horizConcat(a,b)\free{a b }} +\indentrel{3}\begin{verbatim} + Ú1 1 1 3 3 3¿ + ³Ä Ä Ä Ä Ä Äij + ³2 3 4 5 7 11³ + (19) ³ ³ + ³1 1 1 3 3 3³ + ³Ä Ä Ä ÄÄ ÄÄ Äij + À5 6 7 13 17 19Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty19} +\begin{paste}{ugxMatrixCreatePageEmpty19}{ugxMatrixCreatePagePatch19} +\pastebutton{ugxMatrixCreatePageEmpty19}{\showpaste} +\tab{5}\spadcommand{horizConcat(a,b)\free{a b }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch20} +\begin{paste}{ugxMatrixCreatePageFull20}{ugxMatrixCreatePageEmpty20} +\pastebutton{ugxMatrixCreatePageFull20}{\hidepaste} +\tab{5}\spadcommand{vab := vertConcat(a,b)\free{a b }\bound{vab }} +\indentrel{3}\begin{verbatim} + Ú1 1 1 ¿ + ³Ä Ä Ä ³ + ³2 3 4 ³ + ³ ³ + ³1 1 1 ³ + ³Ä Ä Ä ³ + ³5 6 7 ³ + (20) ³ ³ + ³3 3 3³ + ³Ä Ä Äij + ³5 7 11³ + ³ ³ + ³ 3 3 3³ + ³ÄÄ ÄÄ Äij + À13 17 19Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty20} +\begin{paste}{ugxMatrixCreatePageEmpty20}{ugxMatrixCreatePagePatch20} +\pastebutton{ugxMatrixCreatePageEmpty20}{\showpaste} +\tab{5}\spadcommand{vab := vertConcat(a,b)\free{a b }\bound{vab }} +\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePagePatch21} +\begin{paste}{ugxMatrixCreatePageFull21}{ugxMatrixCreatePageEmpty21} +\pastebutton{ugxMatrixCreatePageFull21}{\hidepaste} +\tab{5}\spadcommand{transpose vab\free{vab }} +\indentrel{3}\begin{verbatim} + Ú1 1 3 3¿ + ³Ä Ä Ä Äij + ³2 5 5 13³ + ³ ³ + ³1 1 3 3³ + (21) ³Ä Ä Ä Äij + ³3 6 7 17³ + ³ ³ + ³1 1 3 3³ + ³Ä Ä ÄÄ Äij + À4 7 11 19Ù + Type: Matrix Fraction Integer +\end{verbatim} +\indentrel{-3}\end{paste}\end{patch} + +\begin{patch}{ugxMatrixCreatePageEmpty21} +\begin{paste}{ugxMatrixCreatePageEmpty21}{ugxMatrixCreatePagePatch21} +\pastebutton{ugxMatrixCreatePageEmpty21}{\showpaste} +\tab{5}\spadcommand{transpose vab\free{vab }} +\end{paste}\end{patch} + |