7 -1 -1 3. Diagonalize A = 0 0 Use this diagonalization to compute A". 15...
7 3. Diagonalize A = 1 0 0 0 . Use this diagonalization to compute A". 15 -2)
1. (20 points) Diagonalize A, and use the diagonalization to come up with an explicit formula for Ak where k is a nonnegative integer: [ 3 -11 A=
e Diagonalize the matrices and compute A and B10. 「3000 2 2 A=1141| and B=10200 1 0 0 3 e Diagonalize the matrices and compute A and B10. 「3000 2 2 A=1141| and B=10200 1 0 0 3
1. The matrix A is factored in the form PDP-1. USe the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 54 0 -2] -20 11 5 007 0 0 1 25 4 0 1 2 0 5 0 2 1 42 0 0 5 0 0 0 0 4 - 1 0 - 2 2. Diagonalize, if possible, the matrix A below, given that the eigenvalues are 1 = 2, 1. If not possible,...
Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4 Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4
(1 point) Suppose A CDC-1, use diagonalization to compute A6
(1 point) Diagonalize the matrix 8 8 5 A= 7 7 -7 0 0 3 Namely, find an invertible matrix P and a diagonal matrix D such that P-1AP = D. P= O 0 D = 0 0 0 0
1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2 1. Orthogonally diagonalize the following matrices, if possible. If it is possi- on of the matrix ble, give the spectral decompositi 0-3 0 2
16. Diagonalize the following matrices if possible. (If not possible explain why not) Then compute A2. (Use the diagonal matrix to do the computation if A was diagonalizable) One of the Eigen-values is provided to get you started. A= [-2 3 1-9 10 -1 15 4 -2 10. 2=4
Find a matrix P that will diagonalize A. Then use it to find A13 in a computationally efficient way. A= 15 0 -2