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BLOCK Function

BLOCK( matrix1 <, matrix2, ..., matrix15> ) ;

The BLOCK function forms a block-diagonal matrix. The blocks are defined by the arguments to the function. Up to 15 matrices can be specified. The matrices are combined diagonally to form a new matrix.

For example, if , , and are any matrices, then the block matrix formed from these matrices has the following form:

     

The following statements produce a block-diagonal matrix composed of three blocks, shown in Figure 23.44:

a = 1;
b = {2 2,
     3 3};
c = {4 4 4,
     5 5 5};
d = block(a, b, c);
print d;

Figure 23.44 Block Matrix
d
1 0 0 0 0 0
0 2 2 0 0 0
0 3 3 0 0 0
0 0 0 4 4 4
0 0 0 5 5 5

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