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Find the basic eigenvectors of A corresponding to the eigenvalue 2. (15 -6 -18 0] 15...
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 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
Question 10 [10 points] Find the basic eigenvectors of A corresponding to the eigenvalue . -3 0 0 1 A = 10 2 10 , i = -3 T0 0 -3| Number of Vectors: 1 Official Time: 15:57:24 SUBMIT AND MARK SAVE AND CLOSE
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 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.
Corresponding eigenvectors of each eigenvalue 9 Let 2. (as find the eigenvalues of A GA 1 -- 1 and find the or A each 5 Find the corresponding eigenspace to each eigen value of A. Moreover, Find a basis for The Corresponding eigenspace (c) Determine whether A is diagonalizable. If it is, Find a diagonal matrix ) and an invertible matrix P such that p-AP=1
1 -1 1 Find the eigenvalues and corresponding eigenvectors for the matrix 0 6 2 0-19 Selected Answer: 21 = 8, x1 = (0,1,1) 12 = 7, 12 =(-1, 12, -6) d. 13 = 1, 13 = (1,0,0)
Question 19 (1-1 Find the eigenvalues and corresponding eigenvectors for the matrix 0 6 2 0-19 Selected Answer 21 = 8, x= (0,1,1) 12 = 7, x2 =(-1, 12,-6) d. hg = 1, 13 = (1,0,0)
In Problems 1 through 23, find an eigenvector corresponding to
each eigenvalue of the given matrix.
15. 3 0 -17 23 2 -1 ( 3 2 . 5 -7 17.4 -1 -3 2 0 2010 0 10 01 -10 24. Find unit eigenvectors (i.e., eigenvectors whose magnitudes equal unity) for the matrix in Problem 1. 1. [-1 ]
Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 7 0 3 -2 0 -1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (91, 12, 13) = 1, 2, 4 the corresponding eigenvectors X1 = x X2 = X3 =