Question

Find A, if `[(4),(1),(3)]` A = `[(-4, 8,4),(-1, 2, 1),(-3, 6, 3)]`

Answer 1

We have, `[(4),(1),(3)]` A = `[(-4, 8,4),(-1, 2, 1),(-3, 6, 3)]`

Let A = `[(x, y, z)]`

∴ `[(4),(1),(3)][(x, y, z)] = [(-4, 8, 4),(-1, 2, 1),(-3, 6, 3)]`

⇒ `[(4x, 4y, 4z),(x, y, z),(3x, 3y, 3z)]  [(-4, 8, 4),(-1, 2, 1),(-3, 6, 3)]`

Comparing elements of both sides

4x = –4

⇒ x = –1

4y = 8

y = 2

and 4z = 4

⇒ z = 1

∴ A = `[(–1, 2, 1)]`