If det(A) = 0, matrix is?
- Diagonal
- Identity
- Singular
- 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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