Question

If A and B are two matrices of order
3 x m and 3 x n respectively and m = n,
then the order of the matrix 5A - 2B is
(A) m×3
(B) 3xn
(C) mxn
(D) 3x3​

Answer 1

Answer:

(B) is the correct answer

Step-by-step explanation:

A is a matrix of 3*m

B is a matrix of 3*n

whereas m=n

so, the number of rows in both matrix will be 3 and the columns will be 'm' or 'n' as m=n.

5A also results the same matrix size as of matrix A, similarly 2B will give the same matrix size as of matrix B.

As the both matrix have same matrix sizes, so the resultant 5A-2B will also give the same matrix size result as of A or B.

So the resultant matrix size or order should be 3*m or 3*n.

Hope you find it helpful  :)