CUET · MATHS · PYQ PAPER 2023
If order of matrix \(A\) is \(m \times p\) and order of matrix \(B\) is \(p \times n\), then what is the order of matrix \(A B\) ?
- A \(m \times p\)
- B \(m \times n\)
- C \(p \times n\)
- D \(m \times 2\)
Answer & Solution
Correct Answer
(B) \(m \times n\)
Step-by-step Solution
Detailed explanation
For matrix multiplication: If A is of order m×p and B is of order p×n, the inner dimensions p match. The resulting matrix AB will have the outer dimensions m×n. (B) \(m \times n\)
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