DIAG (matrix) ;
The DIAG function creates a diagonal matrix. The matrix argument can be either a numeric square matrix or a vector.
If matrix is a square matrix, the DIAG function creates a matrix with diagonal elements equal to the corresponding diagonal elements. All off-diagonal elements in the new matrix are zeros.
If matrix is a vector, the DIAG function creates a matrix with diagonal elements that are the values in the vector. All off-diagonal elements are zeros.
For example, the following statements produce a diagonal matrix by extracting the diagonal elements of a square matrix:
a = {4 3,
2 1};
c = diag(a);
print c;
Figure 23.89: Diagonal Matrix Obtained from a Full Matrix
| c | |
|---|---|
| 4 | 0 |
| 0 | 1 |
The following statements produce a diagonal matrix by using the elements of a vector:
b = {1 2 3};
d = diag(b);
print d;
Figure 23.90: Diagonal Matrix Obtained from a Vector
| d | ||
|---|---|---|
| 1 | 0 | 0 |
| 0 | 2 | 0 |
| 0 | 0 | 3 |