Question: Q3 (20 points) QUESTION 3 (TOTAL: 20 MARKS) Consider Q = Matrix Q has a full set of eigenvalues and eigenvectors, and one of the

Q3 (20 points) QUESTION 3 (TOTAL: 20 MARKS) Consider Q = Matrix Q has a full set of eigenvalues and eigenvectors, and one of the eigenvalue-eigenvector pairs is known to be X1 = 3, e1 S SER. (a) Use A1 to find the remaining two eigenvalues, 12 and 13, and give examples of corre- sponding eigenvectors ez and e3. (10 MARKS) (b) Compute the matrix function cos (Q). (10 MARKS)

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