Question

Find the value of x, given that A² = B,

A = `[(2, 12),(0, 1)]` and B = `[(4, x),(0, 1)]`

Answer 1

A = `[(2, 12),(0, 1)]`

A² = `[(2, 12),(0, 1)][(2, 12),(0, 1)]`

= `[(4 + 0, 24 + 12),(0 + 0,0 + 1)]`

= `[(4, 36),(0, 1)]`

Given, A² = B

∴ `[(4, 36),(0, 1)] = [(4, x),(0, 1)]`

Comparing the corresponding elements, we get,

x = 36