Question

Find the eigenvalues and eigenvectors of A geometrically over the real numbers ℝ. (If an eigenvalue does not exist, enter DNE. If an eigenvector does not exist, enter DNE in any single blank.) A = 0 −1 1 0 (counterclockwise rotation of 90° about the origin)

Answer 1

The eigen values obtained are not real and thus according to the notation in the question, the eigen values DNE in R

Explanation:

Here, we are to find the eigen value and the eigen vector of matrix A over the real numbers R

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