(i) If A =         2 - 1 - 4 5   and   B = - 3       2 , find matrix C such that AC = B.
(ii) If A =         2 - 1 - 4 5   and   B = 0   - 3 , find a matrix C such that CA = B.

Dear Student,

Please find below the solution to the asked query:

Given :  A  =    2- 1- 4  5 and B= -32

And

AC = B  , So

C = A-1B

We know if M = abcd , Then M-1 = 1ad - bcd-b-ca , So

A-1 = 12 × 5--4 × -15- -1--42= 110-45142= 165142= 56 162313

So,

C = 56 162313- 32 =56×- 3 + 16×223×- 3 + 13×2 = -52 + 13-2 + 23 = - 10 + 26 -6 +23= - 86 -43= -43 -43   ( Ans )
Hope this information will clear your doubts about topic.

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