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  • Assume X, Y, Z, W and P are matrices of order 2 by n, 3 by k, 2 by p, n by 3 and p by k, respectively. Choose the correct answer in Exercises 21 and 22. If n equals p then the order of the matrix 7X minus 5Z is: (A) p by 2 (B) 2 by n (C) n by 3 (D) p by n

Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k,
respectively. Choose the correct answer in Exercises 21 and 22.

      Q22.    If n = p, then the order of the matrix 7X - 5Z is:
                    (A) p × 2
                    (B) 2 × n
                    (C) n × 3
                    (D) p × n

Answers (1)

best_answer

      X has of order 2*n  .

\therefore  7X also  has of order 2*n .

      Z has of order 2*p  .

\therefore  5Z also  has of order 2*p  .

Mtarices 7X and 5Z can only be subtracted  if they both have same order  i.e  2*n=  2*p  and it is given that  p=n.

We can say that both matrices have order of 2*n.

Thus, order of  7X - 5Z is 2*n.

Option (B) is correct.

Posted by

seema garhwal

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