Question: Find a symmetric 3 x 3 matrix with eigenvalues 1, , 12, and 13 and corresponding orthogonal eigenvectors V1, V2, and V3. 2 21 =

Find a symmetric 3 x 3 matrix with eigenvalues 1, , 12, and 13 and corresponding orthogonal eigenvectors V1, V2, and V3. 2 21 = 1, 12 = 4, 13 = 2, V1 = 2 2 8 12 4 12 18 6 4 6 4 X Need Help? Read It Watch It Master ItConsider the following. A = Find all eigenvalues 1 of the matrix A. 1 = 8,3 Give bases for each of the corresponding eigenspaces. smaller 1-value span 2 -2 larger 1-value span Orthogonally diagonalize the matrix by finding an orthogonal matrix Q and a diagonal matrix D, such that Q AQ = D. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) (D, Q) = [ [18,0],[0,20 ] ],[ [1,2],[-2,1]] X

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