Question

If A is 3 x 4 matrix then which of the following is not a possible value for rank of A?
a) 0
b) 2
3) 3
4) 4​

Answer 1

Answer:

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.