Q69 / 180 · KCET 2014 · Mathematics
If \( A \) is \( 3 \times 4 \) matrix and \( B \) is a matrix such that \( A^{\prime} B \) and \( B A^{\prime} \) are both defined, then \( B \) is of the
type
type
- Correct answerA\( 3 \times 4 \)
- B( \( 3 \times 3 \)
- C\( 4 \times 4 \)
- D\( 4 \times 3 \)
Solution
Given that $\mathrm{A}$ is $3 \times 4$ matrix and $\mathrm{A}^{\prime} \mathrm{B}=\mathrm{BA}^{\prime}$
Then $\mathrm{B}$ is also $3 \times 4$ matrix
Hence, the correct answer is option: 'A'.