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|
\begin{patch}{ExMatrixBasicFunctionPatch1}
\begin{paste}{ExMatrixBasicFunctionFull1}{ExMatrixBasicFunctionEmpty1}
\pastebutton{ExMatrixBasicFunctionFull1}{\hidepaste}
\tab{5}\spadcommand{m1 := matrix([[1,-2,1],[4,2,-4]])\bound{m1 }}
\indentrel{3}\begin{verbatim}
�1 - 2 1 �
(1) � �
�4 2 - 4�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty1}
\begin{paste}{ExMatrixBasicFunctionEmpty1}{ExMatrixBasicFunctionPatch1}
\pastebutton{ExMatrixBasicFunctionEmpty1}{\showpaste}
\tab{5}\spadcommand{m1 := matrix([[1,-2,1],[4,2,-4]])\bound{m1 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch2}
\begin{paste}{ExMatrixBasicFunctionFull2}{ExMatrixBasicFunctionEmpty2}
\pastebutton{ExMatrixBasicFunctionFull2}{\hidepaste}
\tab{5}\spadcommand{m2 := matrix([[1,0,2],[20,30,10],[0,200,100]])\bound{m2 }}
\indentrel{3}\begin{verbatim}
�1 0 2 �
� �
(2) �20 30 10 �
� �
�0 200 100�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty2}
\begin{paste}{ExMatrixBasicFunctionEmpty2}{ExMatrixBasicFunctionPatch2}
\pastebutton{ExMatrixBasicFunctionEmpty2}{\showpaste}
\tab{5}\spadcommand{m2 := matrix([[1,0,2],[20,30,10],[0,200,100]])\bound{m2 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch3}
\begin{paste}{ExMatrixBasicFunctionFull3}{ExMatrixBasicFunctionEmpty3}
\pastebutton{ExMatrixBasicFunctionFull3}{\hidepaste}
\tab{5}\spadcommand{m3 := matrix([[1,2,3],[2,4,6]])\bound{m3 }}
\indentrel{3}\begin{verbatim}
�1 2 3�
(3) � �
�2 4 6�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty3}
\begin{paste}{ExMatrixBasicFunctionEmpty3}{ExMatrixBasicFunctionPatch3}
\pastebutton{ExMatrixBasicFunctionEmpty3}{\showpaste}
\tab{5}\spadcommand{m3 := matrix([[1,2,3],[2,4,6]])\bound{m3 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch4}
\begin{paste}{ExMatrixBasicFunctionFull4}{ExMatrixBasicFunctionEmpty4}
\pastebutton{ExMatrixBasicFunctionFull4}{\hidepaste}
\tab{5}\spadcommand{m1 + m3\free{m1 }\free{m3 }}
\indentrel{3}\begin{verbatim}
�2 0 4�
(4) � �
�6 6 2�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty4}
\begin{paste}{ExMatrixBasicFunctionEmpty4}{ExMatrixBasicFunctionPatch4}
\pastebutton{ExMatrixBasicFunctionEmpty4}{\showpaste}
\tab{5}\spadcommand{m1 + m3\free{m1 }\free{m3 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch5}
\begin{paste}{ExMatrixBasicFunctionFull5}{ExMatrixBasicFunctionEmpty5}
\pastebutton{ExMatrixBasicFunctionFull5}{\hidepaste}
\tab{5}\spadcommand{100 * m1\free{m1 }}
\indentrel{3}\begin{verbatim}
�100 - 200 100 �
(5) � �
�400 200 - 400�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty5}
\begin{paste}{ExMatrixBasicFunctionEmpty5}{ExMatrixBasicFunctionPatch5}
\pastebutton{ExMatrixBasicFunctionEmpty5}{\showpaste}
\tab{5}\spadcommand{100 * m1\free{m1 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch6}
\begin{paste}{ExMatrixBasicFunctionFull6}{ExMatrixBasicFunctionEmpty6}
\pastebutton{ExMatrixBasicFunctionFull6}{\hidepaste}
\tab{5}\spadcommand{m1 * m2\free{m1 }\free{m2 }}
\indentrel{3}\begin{verbatim}
�- 39 140 82 �
(6) � �
� 44 - 740 - 372�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty6}
\begin{paste}{ExMatrixBasicFunctionEmpty6}{ExMatrixBasicFunctionPatch6}
\pastebutton{ExMatrixBasicFunctionEmpty6}{\showpaste}
\tab{5}\spadcommand{m1 * m2\free{m1 }\free{m2 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch7}
\begin{paste}{ExMatrixBasicFunctionFull7}{ExMatrixBasicFunctionEmpty7}
\pastebutton{ExMatrixBasicFunctionFull7}{\hidepaste}
\tab{5}\spadcommand{-m1 + m3 * m2\free{m1 }\free{m2 }\free{m3 }}
\indentrel{3}\begin{verbatim}
�40 662 321�
(7) � �
�78 1318 648�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty7}
\begin{paste}{ExMatrixBasicFunctionEmpty7}{ExMatrixBasicFunctionPatch7}
\pastebutton{ExMatrixBasicFunctionEmpty7}{\showpaste}
\tab{5}\spadcommand{-m1 + m3 * m2\free{m1 }\free{m2 }\free{m3 }}
\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionPatch8}
\begin{paste}{ExMatrixBasicFunctionFull8}{ExMatrixBasicFunctionEmpty8}
\pastebutton{ExMatrixBasicFunctionFull8}{\hidepaste}
\tab{5}\spadcommand{m3 *vector([1,0,1])\free{m3 }}
\indentrel{3}\begin{verbatim}
(8) [4,8]
Type: Vector Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExMatrixBasicFunctionEmpty8}
\begin{paste}{ExMatrixBasicFunctionEmpty8}{ExMatrixBasicFunctionPatch8}
\pastebutton{ExMatrixBasicFunctionEmpty8}{\showpaste}
\tab{5}\spadcommand{m3 *vector([1,0,1])\free{m3 }}
\end{paste}\end{patch}
\begin{patch}{ExRankMatrixPatch1}
\begin{paste}{ExRankMatrixFull1}{ExRankMatrixEmpty1}
\pastebutton{ExRankMatrixFull1}{\hidepaste}
\tab{5}\spadcommand{rank(matrix([[0,4,1],[5,3,-7],[-5,5,9]]))}
\indentrel{3}\begin{verbatim}
(1) 2
Type: PositiveInteger
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExRankMatrixEmpty1}
\begin{paste}{ExRankMatrixEmpty1}{ExRankMatrixPatch1}
\pastebutton{ExRankMatrixEmpty1}{\showpaste}
\tab{5}\spadcommand{rank(matrix([[0,4,1],[5,3,-7],[-5,5,9]]))}
\end{paste}\end{patch}
\begin{patch}{ExTraceMatrixPatch1}
\begin{paste}{ExTraceMatrixFull1}{ExTraceMatrixEmpty1}
\pastebutton{ExTraceMatrixFull1}{\hidepaste}
\tab{5}\spadcommand{trace( matrix([[1,x,x**2,x**3],[1,y,y**2,y**3],[1,z,z**2,z**3],[1,u,u**2,u**3]]) )}
\indentrel{3}\begin{verbatim}
2 3
(1) z + y + u + 1
Type: Polynomial Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExTraceMatrixEmpty1}
\begin{paste}{ExTraceMatrixEmpty1}{ExTraceMatrixPatch1}
\pastebutton{ExTraceMatrixEmpty1}{\showpaste}
\tab{5}\spadcommand{trace( matrix([[1,x,x**2,x**3],[1,y,y**2,y**3],[1,z,z**2,z**3],[1,u,u**2,u**3]]) )}
\end{paste}\end{patch}
\begin{patch}{ExInverseMatrixPatch1}
\begin{paste}{ExInverseMatrixFull1}{ExInverseMatrixEmpty1}
\pastebutton{ExInverseMatrixFull1}{\hidepaste}
\tab{5}\spadcommand{inverse(matrix([[1,2,1],[-2,3,4],[-1,5,6]]))}
\indentrel{3}\begin{verbatim}
� 2 5 �
�- � - 1 � �
� 7 7 �
� �
(1) � 8 6�
� � 1 - ij
� 7 7�
� �
�- 1 - 1 1 �
Type: Union(Matrix Fraction Integer,...)
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExInverseMatrixEmpty1}
\begin{paste}{ExInverseMatrixEmpty1}{ExInverseMatrixPatch1}
\pastebutton{ExInverseMatrixEmpty1}{\showpaste}
\tab{5}\spadcommand{inverse(matrix([[1,2,1],[-2,3,4],[-1,5,6]]))}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch1}
\begin{paste}{ExConstructMatrixFull1}{ExConstructMatrixEmpty1}
\pastebutton{ExConstructMatrixFull1}{\hidepaste}
\tab{5}\spadcommand{diagonalMatrix([1,2,3,2,1])}
\indentrel{3}\begin{verbatim}
�1 0 0 0 0�
� �
�0 2 0 0 0�
� �
(1) �0 0 3 0 0�
� �
�0 0 0 2 0�
� �
�0 0 0 0 1�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty1}
\begin{paste}{ExConstructMatrixEmpty1}{ExConstructMatrixPatch1}
\pastebutton{ExConstructMatrixEmpty1}{\showpaste}
\tab{5}\spadcommand{diagonalMatrix([1,2,3,2,1])}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch2}
\begin{paste}{ExConstructMatrixFull2}{ExConstructMatrixEmpty2}
\pastebutton{ExConstructMatrixFull2}{\hidepaste}
\tab{5}\spadcommand{subMatrix(matrix([[0,1,2,3,4],[5,6,7,8,9],[10,11,12,13,14]]), 1,3,2,4)}
\indentrel{3}\begin{verbatim}
�1 2 3 �
� �
(2) �6 7 8 �
� �
�11 12 13�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty2}
\begin{paste}{ExConstructMatrixEmpty2}{ExConstructMatrixPatch2}
\pastebutton{ExConstructMatrixEmpty2}{\showpaste}
\tab{5}\spadcommand{subMatrix(matrix([[0,1,2,3,4],[5,6,7,8,9],[10,11,12,13,14]]), 1,3,2,4)}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch3}
\begin{paste}{ExConstructMatrixFull3}{ExConstructMatrixEmpty3}
\pastebutton{ExConstructMatrixFull3}{\hidepaste}
\tab{5}\spadcommand{horizConcat(matrix([[1,2,3],[6,7,8]]),matrix([[11,12,13],[55,77,88]]))}
\indentrel{3}\begin{verbatim}
�1 2 3 11 12 13�
(3) � �
�6 7 8 55 77 88�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty3}
\begin{paste}{ExConstructMatrixEmpty3}{ExConstructMatrixPatch3}
\pastebutton{ExConstructMatrixEmpty3}{\showpaste}
\tab{5}\spadcommand{horizConcat(matrix([[1,2,3],[6,7,8]]),matrix([[11,12,13],[55,77,88]]))}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch4}
\begin{paste}{ExConstructMatrixFull4}{ExConstructMatrixEmpty4}
\pastebutton{ExConstructMatrixFull4}{\hidepaste}
\tab{5}\spadcommand{vertConcat(matrix([[1,2,3],[6,7,8]]),matrix([[11,12,13],[55,77,88]]))}
\indentrel{3}\begin{verbatim}
�1 2 3 �
� �
�6 7 8 �
(4) � �
�11 12 13�
� �
�55 77 88�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty4}
\begin{paste}{ExConstructMatrixEmpty4}{ExConstructMatrixPatch4}
\pastebutton{ExConstructMatrixEmpty4}{\showpaste}
\tab{5}\spadcommand{vertConcat(matrix([[1,2,3],[6,7,8]]),matrix([[11,12,13],[55,77,88]]))}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch5}
\begin{paste}{ExConstructMatrixFull5}{ExConstructMatrixEmpty5}
\pastebutton{ExConstructMatrixFull5}{\hidepaste}
\tab{5}\spadcommand{b:=matrix([[0,1,2,3,4],[5,6,7,8,9],[10,11,12,13,14]])\bound{b }}
\indentrel{3}\begin{verbatim}
�0 1 2 3 4 �
� �
(5) �5 6 7 8 9 �
� �
�10 11 12 13 14�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty5}
\begin{paste}{ExConstructMatrixEmpty5}{ExConstructMatrixPatch5}
\pastebutton{ExConstructMatrixEmpty5}{\showpaste}
\tab{5}\spadcommand{b:=matrix([[0,1,2,3,4],[5,6,7,8,9],[10,11,12,13,14]])\bound{b }}
\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixPatch6}
\begin{paste}{ExConstructMatrixFull6}{ExConstructMatrixEmpty6}
\pastebutton{ExConstructMatrixFull6}{\hidepaste}
\tab{5}\spadcommand{setsubMatrix!(b,1,1,transpose(subMatrix(b,1,3,1,3)))\free{b }}
\indentrel{3}\begin{verbatim}
�0 5 10 3 4 �
� �
(6) �1 6 11 8 9 �
� �
�2 7 12 13 14�
Type: Matrix Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExConstructMatrixEmpty6}
\begin{paste}{ExConstructMatrixEmpty6}{ExConstructMatrixPatch6}
\pastebutton{ExConstructMatrixEmpty6}{\showpaste}
\tab{5}\spadcommand{setsubMatrix!(b,1,1,transpose(subMatrix(b,1,3,1,3)))\free{b }}
\end{paste}\end{patch}
\begin{patch}{ExDeterminantMatrixPatch1}
\begin{paste}{ExDeterminantMatrixFull1}{ExDeterminantMatrixEmpty1}
\pastebutton{ExDeterminantMatrixFull1}{\hidepaste}
\tab{5}\spadcommand{determinant(matrix([[1,2,3,4],[2,3,2,5],[3,4,5,6],[4,1,6,7]]))}
\indentrel{3}\begin{verbatim}
(1) - 48
Type: Integer
\end{verbatim}
\indentrel{-3}\end{paste}\end{patch}
\begin{patch}{ExDeterminantMatrixEmpty1}
\begin{paste}{ExDeterminantMatrixEmpty1}{ExDeterminantMatrixPatch1}
\pastebutton{ExDeterminantMatrixEmpty1}{\showpaste}
\tab{5}\spadcommand{determinant(matrix([[1,2,3,4],[2,3,2,5],[3,4,5,6],[4,1,6,7]]))}
\end{paste}\end{patch}
|
