CUET · MATHS · PYQ PAPER 2023
If X, Y, Z, W \& P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k respectively. The restrictions on n,k \& p so that PY + WY be defined are:
- A k = 3, p = n
- B k is arbitrary, p = 2
- C p is arbitrary, k = 3
- D k = 2, p = 3
Answer & Solution
Correct Answer
(A) k = 3, p = n
Step-by-step Solution
Detailed explanation
For PY to be defined, columns of P = rows of Y: \(k = 3\) For WY to be defined, columns of W = rows of Y: \(3 = 3\) Dimensions of PY are \(p \times k\). Dimensions of WY are \(n \times k\). For PY + WY to be defined, dimensions must match:…
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