If A is 3×4 matrix and B is a matrix such that A'B and BA' are bo

Question

If A is

3 \times 4

matrix and B is a matrix such that A'B and BA' are both defined. Then B is of the type

Options:

A . 3×4

B . 3×3

C . 4×4

D . 4×3

Answer: Option A
:
A

A_{3 \times 4} \Rightarrow A_{4 \times 3}^{'}

Now A'B defined

\Rightarrow B

3 \times p

Again

B_{3 \times p} A_{4 \times 3}^{'}

defined

\Rightarrow p = 4

∴ B

3 \times 4

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