Use MATLAB to determine the following:

(a) the three eigenvalues of $\boldsymbol{A}$

(b) the eigenvectors of $\boldsymbol{A}$

(c) Show that $\boldsymbol{A Q}=\boldsymbol{Q} \boldsymbol{d}$, where $\boldsymbol{Q}$ is the matrix containing the eigenvectors as columns and $\boldsymbol{d}$ is the matrix containing the corresponding eigenvalues on the main diagonal and zeros else where.

Transcribed Image Text:

4 6 2 6 7 5 8 A = 5 10