A First Course in Linear Algebra · Problem M16

Eigenvalues — Robert Beezer

Mathematics — Linear Algebra · determinant-polynomial-roots

Problem

Given the matrix B=[4−x−4−42−2−x−43−3−4−x]B = \begin{bmatrix} 4-x & -4 & -4 \\ 2 & -2-x & -4 \\ 3 & -3 & -4-x \end{bmatrix}, find all values of xx that are solutions of det⁡(B)=0\det(B) = 0.

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