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Sticky Note
If det(A) = 0, matrix is?
  1. Diagonal
  2. Identity
  3. Singular
  4. None of these
Explanation

det(A) ≠ 0 → Non-singular / Invertible matrix. Has an inverse A⁻¹

det(A) = 0 → Singular / Non-invertible matrix. No inverse exists

Diagonal and Identity matrices can have det = 0 only if they have a zero on diagonal. But "det = 0" by itself defines "Singular".

So rows/columns are linearly dependent - the matrix "collapses" space.


Last verified on 08-06-2026

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