Question

[tex] If A \left[\begin{array}{ccc}1&-2&-5\\3&4&0\end{array}\right]=\left[\begin{array}{ccc}-1&-8&-10\\1&-2&-5\\9&22&15\end{array}\right], then A=......

(a) \left[\begin{array}{ccc}2&-1&1\\0&-3&4\end{array}\right]

(b) \left[\begin{array}{ccc}5&-2\\1&0\\-3&4\end{array}\right]

(c) \left[\begin{array}{ccc}2&-1\\1&0\\-3&4\end{array}\right]

(a) \left[\begin{array}{ccc}-1&1&0\\2&-3&4\end{array}\right] [/tex]

Answer 1

option C
(3×2)...(2×3) = (3×3) for multiplication to hold
so either b or c option
now just check by multiplying the first row of A to the columns of the given matrix for b,c options
it satisifies only for option C