# Find the matrix A

On multiplying A with 2 × 3 matrix we get 3 × 3 matrix

Therefore, A must be a matrix of order 3 × 2

Let A =

So we have,

a + 4 b = – 7 ….(1)

2 a + 5 b = – 8 …(2)

c + 4 d = 2 …….(3)

2 c + 5 d = 4 ..(4)

e + 4 f = 11 …(5)

2 e + 5 f = 10 …(6)

a = 1, b = –2, c = 2, d = 0, e = –5 and f = 4 on solving the above equations.

Hence, A =

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