Difference between revisions of "Manuals/calci/BLOCKDIAGONAL"

Revision as of 12:58, 17 April 2015

MATRIX("BLOCK-DIAGONAL",order)

This function gives matrix of order 3 which is satisfying the property of the block diagonal matrix.
A block matrix is a matrix that is defined using smaller matrices, called blocks.
For e.g., ${\begin{bmatrix}A&B\\C&D\\\end{bmatrix}}$

where A, B, C, and D are themselves matrices, is a block matrix.

Two block matrices have the same shape and their diagonal blocks are square matrices, then they multiply similarly to matrix multiplication.
In Calci, MATRIX("BLOCK-DIAGONAL") is showing the matrix of order 3 with the entry of 0.
Users can change the order as well as the entries of that matrix.

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-<div style="font-size:30px">'''BLOCKDIAGONAL'''</div><br/>
+<div style="font-size:30px">'''MATRIX("BLOCK-DIAGONAL",order)'''</div><br/>
+*<math> order </math>  is the order of the Block diagonal matrix.
+==Description==
+*This function gives matrix of order 3 which is satisfying the property of the block diagonal matrix.
+*A block matrix is a matrix that is defined using smaller matrices, called blocks.
+*For e.g., <math>\begin{bmatrix}
+A & B \\
+C & D \\
+\end{bmatrix}</math>
+where A, B, C, and D are themselves matrices, is a block matrix.
+*Two block matrices have the same shape and their diagonal blocks are square matrices, then they multiply similarly to matrix multiplication.
+*In Calci, MATRIX("BLOCK-DIAGONAL") is showing the matrix of order 3 with the entry of 0.
+*Users can change the order as well as the entries of that matrix.
+==Examples==
+*MATRIX("block-diagonal")
+{| class="wikitable"
+|-
+| 0 || 0 || 0
+|-
+| 0 || 0 || 0
+|-
+| 0 || 0 || 0
+|}
+*MATRIX("BLOCK-DIAGONAL",4,5..7**2)
+{| class="wikitable"
+|-
+| 5 6 7 || 0 || 0 || 0
+6 7
+|-
+| 0 || 5 6 7 || 0 || 0
+6 7
+|-
+| 0 || 0 || 0
+|}