CUET · MATHS · PYQ PAPER 2025
Assume \(A, B\) and \(C\) are matrices of order \(m \times n, n \times 3\) and \(3 \times q\) respectively. The restrictions on \(m, n\) and \(q\) so that \(A B+B C\) is defined are
- A \(n\) is arbitrary, \(q=2\)
- B \(m=n, q=3\)
- C \(q=3, m=3\)
- D \(q\) is arbitrary, \(n=2\)
Answer & Solution
Correct Answer
(B) \(m=n, q=3\)
Step-by-step Solution
Detailed explanation
For \(AB\) to be defined: order is \(m \times 3\). For \(BC\) to be defined: order is \(n \times q\). For \(AB+BC\) to be defined, their orders must be the same: \(m = n\) \(3 = q\)
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