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

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 \times 4

B .

3 \times 3

C .

4 \times 4

D .

4 \times 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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