Question

If A = `[(2, x),(0, 1)] and "B" = [(4, 36),(0, 1)]`,find the value of x, given that A² – B

Answer 1

Given
A² = `[(2, x),(0, 1)][(2, x),(0, 1)]`

A² = `[(2, x),(0, 1)][(2, x),(0, 1)]`

= `[(4 + 0, 2x + x),(0 + 0, 0 + 1)]`

= `[(4, 3x),(0, 1)]`
∵ A² = B
∴ `[(4, 3x),(0, 1)] = [(4, 36),(0, 1)]`
Corresponding the corresponding elements
3x = 36
⇒ x = 12
Hence x = 12.