Question

The vectors v⃗ 1=[−3−2] and v⃗ 2=[−5−3] are eigenvectors of the matrix [−42−24 60 34]. Multiply them by the matrix to find their eigenvalues.

Answer 1

If a vector v is an eigenvector a matrix A, then there exists an eigenvalue \( \lambda \) such that:

\[ Av = \lambda v \]

So multiply out each vector and turn and solve for \( \lambda \) .

Answer 2

thanks.