INSTRUCTIONS: ANSWER THE FOLLOWING QUESTION. FOLLOW THE FORMAT. NO SOLUTION NEEDED AS LONG AS THE FINAL ANSWER IS CORRECT. AND ALSO WRITE LEGIBLY TO AVOID CONFUSION OF ANSWER.

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Chapter 5, Section 5.1, Question 03 Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 3 0 1 7 A = 5 -7 and X = -2 1 0 -3 Eigenvalue:Chapter 5, Section 5.1, Question 05d Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following matrix. 2 -7 2 Enter the basis in the format (x, y). The characteristic equation is Edit The eigen value A is A basis for the eigenspace is ? EditChapter 5, Section 5.1, Question 07 Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following matrix: 8 01 -6 1 0 -6 0 The characteristic equation is ? Edit Enter eigenvalues in increasing order. Eigen values Bases for the eigenspacesChapter 5, Section 5.1, Supplementary Question 01 By inspection, find the eigenvalues of the following matrix: 0 3 Enter the eigenvalues in increasing order. Eigenvalues are:Chapter 5, Section 5.1, Supplementary Question 02 By inspection, find the eigenvalues of the following matrix: 0 -3 12 0 2 1 2 Enter the eigenvalues in increasing order. Eigenvalues are