Practice question · Select all that apply
Which are equivalent to saying A is invertible (for square A)?
Hints
- Recall the equivalent conditions of the Invertible Matrix Theorem.
- One listed condition is exactly the opposite of invertibility.
Show the answer
- A. ≠ 0
- B. rank(A) = n
- C. The only solution of is
Why
A zero eigenvalue means singular; the other three are equivalent to invertibility.
Practise Problem-Solving: Linear Algebra
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