alleryProduct of eigenvalues of square matrix A =
ATrace
B|A| (determinant)
C0
DSum of diagonal squares
Answer & Solution
Correct answer: B. |A| (determinant)
For n×n matrix: |A| = product of eigenvalues (counting multiplicity). Trace = sum.
Both are basis-independent.
**So singular matrix (|A|=0) has at least one zero eigenvalue.**
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