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:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → k = 3, p = n
$X_{2×n},Y_{3×k},Z_{2×p},W_{n×3},P_{p×k}$
So for PY to be defined
$k=3$
for WY to be defined
(3 = 3)
So $P_{p×k}Y_{3×k}+W_{n×3}Y_{3×k}$
$(PY)_{p×k}+(WY)_{n×k}$
$p=n,k=3$