Question

If A = `[(x, 1),(1, 0)]` and A = A^–1, then x = ______.

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Answer 1

If A = `[(x, 1),(1, 0)]` and A = A^–1, then x = 0.

Explanation:

A = `[(x, 1),(1, 0)]` 

|A| = 0 – 1 = –1

∴ A^–1 = `-1[(0, -1),(-1, x)]`

∵ A = A^–1

`\implies` x = 0