Q. 48 F5.0( 4 Votes )

Find the matrix A

Answer :


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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