CUET · MATHS · PYQ PAPER 2023
If the order of matrix \(A\) is \(4 \times 3\), order of matrix \(B\) is \(4 \times 5\) and order of matrix \(C\) is \(5 \times 3\), then the order of matrix \((B \cdot C) A^{\prime}\) is :
- A \(4 \times 3\)
- B \(4 \times 4\)
- C \(3 \times 4\)
- D \(5 \times 3\)
Answer & Solution
Correct Answer
(B) \(4 \times 4\)
Step-by-step Solution
Detailed explanation
Order of \(B \cdot C\) = \(4 \times 5\) \(\cdot\) \(5 \times 3\) = \(4 \times 3\) Order of \(A^{\prime}\) = \((4 \times 3)^{\prime}\) = \(3 \times 4\) Order of \((B \cdot C) A^{\prime}\) = \((4 \times 3)\) \(\cdot\) \((3 \times 4)\) = \(4 \times 4\)
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