Find the matrix A such that
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 =