alleryThe CHARACTERISTIC EQUATION used to find eigenvalues of matrix A is:
A$\det(A - \lambda I) = 0$ (the classical form)
B$A \cdot \lambda = I$ (multiplication formula)
C$A^{-1} = \lambda$ (eigen-inverse)
D$\lambda = \text{tr}(A) / n$ (mean)
Answer & Solution
Correct answer: A. $\det(A - \lambda I) = 0$ (the classical form)
Eigenvalues are roots of the characteristic equation det(A − λI) = 0. The eigenvectors v satisfy Av = λv (vector unchanged in direction, scaled by λ).
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