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Find the eigenvalues and eigenvectors. | 1 دهان Show transcribed image text
Find the eigenvalues and eigenvectors of the following matrices 1) Find the eigenvalues and eigenvectors of the following matrices. -5 4 -2.2 1.4 2 0 -1 2 1-2 3
Find the eigenvalues and associated eigenvectors of the matrix Q2: Find the eigenvalues and associated eigenvectors of the matrix 7 0 - 3 A = - 9 2 3 18 0 - 8
Find the eigenvalues and normalized eigenvectors of the following matrices. Show whether the eigenvectors are orthogonal. (60) (23) (1, 1) (i)
Find the matrix A that has the given eigenvalues and corresponding eigenvectors. Find the matrix A that has the given eigenvalues and corresponding eigenvectors. 2 A= Find the matrix A that has the given eigenvalues and corresponding eigenvectors. 2 A=
Find the eigenvalues and eigenvectors of the matrix. $$ A=\left[\begin{array}{ccc} 1 & 2 & -1 \\ 1 & 0 & 1 \\ 4 & -4 & 5 \end{array}\right] $$
Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue. A= 17 18 |-13 -13 Number of distinct eigenvalues: 1 Number of Vectors: 1
Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue. [o -6 -61 A = 0 -7 -6 10 4 3 Number of distinct eigenvalues: 1 Number of Vectors: 1 C
Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue 2 12 6 A 0 -14 -8 0 24 14 Number of distinct eigenvalues: 1 Number of Vectors: 1 030
Find the eigenvalues and number of independent eigenvectors. (Hint: 4 is an eigenvalue.) 10 -6 12 -8 0 0 | 12 -7 -1 a) Eigenvalues: 4,4, -1; Number of independent eigenvectors: 2 b) Eigenvalues: 4,2, -1; Number of independent eigenvectors: 3 c) Eigenvalues: 4,-2,1; Number of independent eigenvectors: 3 d) Eigenvalues: 4,-2, -1; Number of independent eigenvectors: 3 e) Eigenvalues: 4,-2, -2; Number of independent eigenvectors: 2 f) None of the above.
(1 point) Find the eigenvalues and eigenvectors of the matrix A = | -1 (-13 5 -3 11 = , vi = and t2 = ,02 =