Practice question · Select all that apply
Which statements are true when det(A) = 0?
Hints
- Singular is a statement about invertibility, not about entries being zero.
- Find a matrix with a zero determinant but plenty of nonzero entries.
Show the answer
- B. A is singular
- C. A has no inverse
- D. The columns of A are linearly dependent
Why
det(A) = 0 means singular, but A need not be the zero matrix (e.g., [[1,2],[2,4]]).
Practise Determinants
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More questions on Determinants
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