Question

Matrix
One mark question:-
A is of order 3x4 and Atb defined,
then what is the order of B?
If​

Answer 1

Given that matrix A is 3 x 4.

Let the B matrix be P x Q.

Therefore, A' is 4 x 3.

Since A'B is defined, so number of columns of A' must be equal to number of rows of B, therefore, P = 3.

Also, BA' is defined, so the number of columns of B must be equal to number of rows of A', then Q = 4.

Therefore, matrix B is 3 x 4.