Question

If A = `[(1, 0),(2, 1)]`, B = `[(x, 0),(1, 1)]` and A = B², then x equals ______.

पर्याय

• ± 1

• – 1

• 1

• 2

Answer 1

If A = `[(1, 0),(2, 1)]`, B = `[(x, 0),(1, 1)]` and A = B², then x equals 1.

Explanation:

∵ A = `[(1, 0),(2, 1)]`, B = `[(x, 0),(1, 1)]`

∴ B² = `[(x, 0),(1, 1)][(x, 0),(1, 1)] = [(x^2, 0),(x + 1, 1)]`

A = B²

`\implies [(1, 0),(2, 1)] = [(x^2, 0),(x + 1, 1)]`

So x² = 1

`\implies` x = ± 1

Also x + 1 = 2

`\implies` x = 1

Since x = 1 is a common solution.

∴ x = 1