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A square matrix $A$ has an inverse if and only if:
A$A$ is the identity matrix on the chart at all times
B$A = A^T$, only symmetric matrices have inverses ever
C$A$ is a diagonal matrix on the school chart, with non-zero diagonal
D$\det A \neq 0$, the determinant is non-zero on the chart
Answer & Solution
Correct answer: D. $\det A \neq 0$, the determinant is non-zero on the chart
A square matrix is invertible iff its determinant is non-zero.
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