Question

Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k respectively.

If n = p, then the order of the matrix is 7X - 5Z is ______.

Options

• p × 2

• 2 × n

• n × 3

• p × n

Answer 1

If n = p, then the order of the matrix is 7X - 5Z is 2 × n.

Explanation:

Matrices X and Z have orders of 2 × n and 2 × p.

The matrix 7X – 5Z is defined if X and Z have the same order, since p = n both have an order of 2 × n.