Math Problem Statement
what about: if A^-1 exists, then det(A)=0
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Inversion
Determinants
Formulas
A^{-1} exists if and only if det(A) ≠ 0
Theorems
Invertibility Theorem
Properties of Determinants
Suitable Grade Level
Undergraduate (Linear Algebra Course)