Question

If A = `[(x, 0),(1, 1)]` and B = `[(4, 0),(-1, 1)],` then value of x for which A² = B is ______.

विकल्प

• - 2

• 2

• 2 or −2

• 4

Answer 1

If A = `[(x, 0),(1, 1)]` and B = `[(4, 0),(-1, 1)],` then value of x for which A² = B is -2.

Explanation:

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

Given that, A² = B 

`[(x, 0),(1, 1)]·[(x, 0),(1, 1)] = [(4, 0),(-1, 1)]`

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

x + 1 = −1

x = −1 − 1

x = −2