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Question: Answered & Verified by Expert
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
MathematicsDefinite IntegrationKCETKCET 2014
Options:
  • A \( 3 \times 4 \)
  • B ( \( 3 \times 3 \)
  • C \( 4 \times 4 \)
  • D \( 4 \times 3 \)
Solution:
1430 Upvotes Verified Answer
The correct answer is: \( 3 \times 4 \)
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

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