Chapter 7, Section 7.3, Question 16 Find all eigenvalues and eigenvectors of the given matrix. 2....
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 =
Find the eigenvalues and eigenvectors of the given matrix. 3 -1 A= 8 -3 Enter the eigenvalues in ascending order. If the eigenvalues are equal, both answers should be the same. 1 11 = -1 X1 = where x1 = (..) ( ) 1 12 = 1 X2 = where x2 =
(1 point) a. Find the eigenvalues and eigenvectors of the matrix of the matrik (_&_7] 1 2 1-6 3 -7] 11 = -4 ,u = , and 12 = -1 , 02 = → b. Solve the system of differential equations x X1(0) = [ 2 | -6 31+ -7 the initial conditions | x2(0) xi(t) = x2(t) =
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 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
linear algebra Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal -1 0-1 0-1 0 - 1 0 9 1 Find the characteristic polynomial of A. |x - Al- Find the eigenvalues of A. (Enter your answers from smallest to largest.) (21, 22, 23) Find the general form for every eigenvector corresponding to 21. (Uses as your parameter.) X1 - Find the general form for every elge vector corresponding to Az. (Uset as your...
please solve both 7. [-14 Points] DETAILS LARLINALG8 7.1.019. Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix. - (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (11, 12) = -(C) the corresponding eigenvectors X1 = X2 = Need Help? Read It Watch It Talk to a Tutor 8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. -1 Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix....
Show that any two eigenvectors of the symmetric matrix corresponding to distinct eigenvalues are orthogonal. -1 0-1 0-1 0 -107 Find the characteristic polynomial of A. far - 41 - Find the eigenvalues of A. (Enter your answers from smallest to largest.) (11, 12, 13) = Find the general form for every eigenvector corresponding to 11. (Uses as your parameter.) X1 = Find the general form for every eigenvector corresponding to 12. (Use t as your parameter.) x2 = (0.t,0)...
Question 2 (1 point) 8 -18 Find the eigenvalues and eigenvectors of the matrix A = 18] (The 3 -7 same as in the previous problem.) di = 2, V1 = [1] and 12 = -1, V2 = - [11] [1] 3 21 = 1, V1 = ܒܗ ܟܬ and 12 = -2, V2 = 2 x = 1, V1 = and 12 = -2, V2 = [11 11 x = -2, Vi and 12 = -3, V2 [1]
16. Assume that M is a 4 x 4 matrix with eigenvalues 11 = -1, 12 = 0, 13 = 5, y = 1. Choose the correct answer(s) (a) A basis of R* can be formed using eigenvectors of M (b) The matrix M is nonsingular c) The matrix M is diagonalizable (d) All of the above 17. Let S be a 3 x 3 symmetric matrix whose eigenvalues are 12 = 4, 13 = -1. Choose the correct answer(s)...