The eigenvalues of \begin{equation*}M = \begin{bmatrix} 7 & -15 \\ 2 & -4 \end{bmatrix}\end{equation*}are ...
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To do this, we compute the determinant of (M - λI), where λ is an unknown scalar and I is the identity matrix of the same size as M: det(M - λI) = det [ -15 - λ 4 ] [ 1 -5 - λ ] = (-15 - λ)(-5 - λ) - 4 = λ^2 + 20λ + 65 This is the characteristic Show more…
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