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Maths-

General

Easy

Question

If A is a square matrix such that A² = A, then |A| equals-

0 or 1
–2 or 2
–3 or 3
None of these

The correct answer is: 0 or 1

A² = A $rightwards double arrow$ |A²| = |A| $rightwards double arrow$ |A|² – |A| = 0
|A| [|A|– 1] = 0 $rightwards double arrow$ |A| = 0 or |A| = 1

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