(Solution Library) Show that for any n * n matrix A det; A=λ_1 • λ_2 • λ_3 •s λ_n where λ_1, λ_2,
Question: Show that for any \(n \times n\) matrix \(A\)
\[\operatorname{det} A=\lambda_{1} \cdot \lambda_{2} \cdot \lambda_{3} \cdots \lambda_{n}\]where \(\lambda_{1}, \lambda_{2}, \lambda_{3}, \ldots \lambda_{n}\) are the eigenvalues of the matrix \(A\).
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