Practice question · Select all that apply
Select every statement that is TRUE about a 2x2 matrix with determinant 0.
Hints
- A zero determinant is the singular case.
- Zero area-scaling means the image is flattened.
Show the answer
- A. Its rows are linearly dependent
- C. It is not invertible
- E. It collapses the plane onto a line or point
Why
Determinant 0 means singular: no inverse, dependent rows, and the plane is flattened onto a line or point (area scaled by 0). It certainly does not preserve areas or have an inverse.
Practise Determinants and Invertibility
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