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

Question

Let X be a matrix of order 2 × n and Z be a matrix of order 2 × p. If n = p, then the order of the matrix 7X - 5Z is (A) p × 2  (B) 2 × n (C) n × 3  (D) p × n

Tardigrade Admin · Accepted Answer

The order of matrix X is 2 × n, The order of matrix Z is 2 × p 7X - 5Z is defined when X and Z of the same order ⇒ n = p Thus the order of 7X - 5Z is 2 × n.

Q. Let X be a matrix of order $2 \times n$ and Z be a matrix of order $2 \times p$ . If n = p, then the order of the matrix $7 X - 5 Z$ is

$p \times 2$

$2 \times n$

$n \times 3$

$p \times n$

The order of matrix X is $2 \times n$ , The order of matrix Z is $2 \times p$
7X - 5Z is defined when X and Z of the same order $\Rightarrow n = p$
Thus the order of 7X - 5Z is $2 \times n$ .

Q. Let X be a matrix of order 2×n and Z be a matrix of order 2×p. If n = p, then the order of the matrix 7X−5Z is

p×2

2×n

n×3

p×n