Question

(M) Read the documentation for your matrix program, and write the commands that will produce the following matrices (without keying in each entry of the matrix).

1. A \({\bf{5}} \times {\bf{6}}\) matrix of zeros
2. A \({\bf{3}} \times {\bf{5}}\) matrix of ones
3. The \({\bf{6}} \times {\bf{6}}\) identity matrix
4. A \({\bf{5}} \times {\bf{5}}\) diagonal matrix, with diagonal entries 3, 5, 7, 2, 4

Short answer

1. zeros(5,6)
2. ones(3,5)
3. eye(6)
4. v = (3 5 7 2 4);

diag(v)

Step-by-step solution

Describe the matrix program

The answer is dependent on the matrix program used. Here, MATLAB is chosen.

Write a comment for the matrix of zeros

(a)

The comment zeros(5,6)returns the \(5 \times 6\) matrix of zeros.

Write a comment for the matrix of ones

(b)

The comment ones(3,5)returns the \(3 \times 5\) matrix of zeros.

Write a comment for the identity matrix

(c)

The comment eye(6) returns the \(6 \times 6\) identity matrix.

Write a comment for the diagonal matrix

(d)

The comment

v = (3 5 7 2 4);

diag(v)

returns the \(5 \times 5\) diagonal matrix, with diagonal entries 3, 5, 7, 2, 4.