Find the eigenvalues and eigenvectors of the matrix.
$$ A=\left[\begin{array}{ccc} 1 & 2 & -1 \\ 1 & 0 & 1 \\ 4 & -4 & 5 \end{array}\right] $$
$$ \text { For the matrix } A=\left[\begin{array}{ccc} 6 & 9 & -10 \\ 6 & 3 & -4 \\ 7 & 7 & -0 \end{array}\right] \text {, find eigenvalues and eigenvectors. } $$
Find all eigenvalues and eigenvectors for the matrix$$ \left(\begin{array}{ccc} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 17 \end{array}\right) $$Is the matrix diagonalizable?
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 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, Eigenvectors, If possible find an invertible matrix P, such that P-AP is in diagonalized form. -3 1 A = 4 3 () 0 0 -2 A = 1 2 1 0 3 Find the Eigenvalues, Eigenvectors, If possible find an invertible matrix P, such that P-AP is in diagonalized form. -3 1 A = 4 3 () 0 0 -2 A = 1 2 1 0 3
For the matrix A, find (if possible) a nonsingular matrix P such that p-1 AP is diagonal. (If not possible, enter IMPOSSIBLE.) \(A=\left[\begin{array}{rrr}1 & 0 & 0 \\ -5 & -3 & 4 \\ -4 & 0 & -3\end{array}\right]\)Verify that p-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
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
18. For the following matrix : A = A={1} (a) Find the Eigenvalues and Eigenvectors in C? (b) Find the invertible matrix P and the rotation matrix C (c) Find the angle of rotation 0,-1 Sost of 3 -2 5 19. Let W be the subspace spanned by vectors w1 = and w2 = -2 in W (a) Find the best approximation of v= (b) Find the distance from v to W
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 =
Then diago- 6. Find the eigenvalues and eigenvectors of the matrix A = nalize the matrix. [4 points)