Given:

To find: A

Let

Solving for matrix A, we get

Comparing the values, we get

a + 2 = 3 …(i)

b + 3 = -6 …(ii)

c – 1 = -3 …(iii)

and d + 4 = 8 …(iv)

Solving eq. (i), we get

a + 2 = 3

⇒ a = 1

Solving eq. (ii), we get

b + 3 = -6

⇒ b = -6 – 3

⇒ b = -9

Solving eq. (iii), we get

c – 1 = -3

⇒ c = -3 + 1

⇒ c = -2

Solving eq. (iv), we get

d + 4 = 8

⇒ d = 8 – 4

⇒ d = 4

Putting the value of a, b , c and d to get the matrix A, we get