Question

Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the matrix X.

Answer 1

Let X = `[(a),(b)]`
so `[(2, 1),(-3, 4)] [(a),(b)] = [(7),(6)]`
⇒ `[(2a + b),(-3a + 4b)] = [(7),(6)]`
⇒ 2a + b = 7   ...(1)
-3a + 4b = 6    ...(2)
From (1) and (2)  a = 2, b = 3
⇒ X = `[(2),(3)]`.