In each Problems 11 through 16, find the eigenvalues and a complete orthogonal set of eigenvectors for the given
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- You may use a calculator to perform basic calculations on these problems: ? Row reduction ? Matrix multiplication ? Matrix inverses ? Finding eigenvalues and eigenvectors This will greatly reduce the amount of time you have to spend on the assignment. I only ask that you show what steps you are taking. Please show your process for calculating generalized eigenvectors and please answer all three.arrow_forwardSolve in 20 minutes pleasearrow_forwarddo a b c onlyarrow_forward
- Find the eigenvalues of the following matrix: A = [3 1] [4 2]arrow_forwardGiven matrix A with complex eigenvalues h1,2 = a +/- bi and complex eigenvectors v1,2 = c +/- di. Find a = _ , b = _ , c = < _ , _ >, and d = < _ , _ >.arrow_forwardFor complex matrices, the symmetry ST = S that produces real eigenvalues must change in Section 9.2 to ST = S. From det(S ->.I) = 0, find the eigenvalues of the 2 by 2 Hermitian matrix S = [4 2 + i; 2 -i OJ= ST.arrow_forward
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