NDA 2026 · PYQ · Matrices / Determinants · easy
If M is a square matrix such that M³ = M, then how many values of |M| are possible?
- A.One
- B.Two
- C.Three✓ Correct
- D.Four
From M³ = M, taking determinants: |M|³ = |M|, so |M|³ − |M| = 0, giving |M|(|M|² − 1) = 0. Hence |M| = 0, 1, or −1. Three possible values.
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