Practice question · True or false
If det(A) = 0, then A is invertible.
Hints
- Recall the exact condition that guarantees an inverse exists.
- A vanishing determinant means the transformation collapses volume.
Show the answer
False
Why
A matrix is invertible if and only if its determinant is nonzero.
Practise Determinants
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More questions on Determinants
- Match each determinant property to its statement.
- Which statements are true when det(A) = 0?
- Sort these determinant values into Invertible or Singular.
- A 2×2 matrix M has det M = 0. It transforms the plane. What does it do to the unit square?
- The determinant’s absolute value is the factor by which a transformation scales area or volume. What does a…