Find matrix A such that

(CBSE 2017)

...(1)

The order is matrix is 3×2.

and, the order of matrix is 3×2

∴ the order of matrix A should be 2×2.

Let

Now,

...(2)

Comparing (1) & (2), we get-

Comparing corresponding elements-

a = 1 & b = -2

and,

2a-c = -1

⇒ 2(1)-c = -1

⇒ 2-c = -1

∴ c = 3

Also,

2b-d = -8

⇒ 2(-2)-d = -8

⇒ -4-d = -8

∴ d = 4

Thus,