Characteristic polynomial/Eigenvalues/Spaces/-1 over 2, 1 over 4, -3, -1 over 2/Exercise

Determine the characteristic polynomial, the eigenvalues, and the eigenspaces of the matrix

${}M={\begin{pmatrix}-{\frac {1}{2}}&{\frac {1}{4}}\\-3&-{\frac {1}{2}}\end{pmatrix}}\,$

over ${}\mathbb {C}$.

Create a solution