Question

If matrix A = `[(2, 2),(0, 2)]` and A² = `[(4, x),(0, 4)]`, then the value of x is ______.

पर्याय

• 2

• 4

• 8

• 10

Answer 1

If matrix A = `[(2, 2),(0, 2)]` and A² = `[(4, x),(0, 4)]`, then the value of x is 8.

Explanation:

Given, matrix A = `[(2, 2),(0, 2)]`.

Then A² = `[(2, 2),(0, 2)][(2, 2),(0, 2)] = [(4, 8),(0, 4)]`

On comparing it with A² = `[(4, x),(0, 4)]`, we get that

x = 8