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Assuming $X, Y, Z, W$ and $P$ are the matrices of order $2 \times n, 3 \times k, 2 \times p, n \times 3$ and $p \times k$ respectively. Choose the correct answer in Question 21 and 22 .
The restrictions on $n, k$ and $p$ so that $P Y+W Y$ will be defined are
(a) $k=3, p=n$
(b) $k$ is arbitrary, $p=2$
(c) $p$ is arbitrary, $k=3$
(d) $k=2, p=3$
The restrictions on $n, k$ and $p$ so that $P Y+W Y$ will be defined are
(a) $k=3, p=n$
(b) $k$ is arbitrary, $p=2$
(c) $p$ is arbitrary, $k=3$
(d) $k=2, p=3$
Solution:
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Verified Answer
Given : $x_{2 \times n,} y_{3 \times k} z_{2 \times p,}, w_{n \times 3}, p_{p \times k}$
Now $p y+w y=p_{p \times k} \times y_{3+k} \times w_{n \times 3} \times y_{3 \times k}$
Clearly, $\quad k=3$ and $p=n$
Hence, option (a) is correct $p \times 2$.
Now $p y+w y=p_{p \times k} \times y_{3+k} \times w_{n \times 3} \times y_{3 \times k}$
Clearly, $\quad k=3$ and $p=n$
Hence, option (a) is correct $p \times 2$.
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