find the eigenvalues of each matrix and determine a basis for each eigenspace. -1 0 0 19. 2 5 0 1 -2 −1

Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) 505 0 3 2 004 λ =

Diagonlize the matrix if possible. the eigenvalues are as follows λ=3,1 7 4 16 2 5 8 -2 -2 -5

Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) 044 404 444 For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x) -

Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) 504 045 003 λ =

For the matrix, list the real eigenvalues, repeated according to their multiplicities. The real eigenvalues are (Use a comma to separate answers as needed.) 8-40 8 6 5 -5 03 8 00 8 0 0 0

Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) 50 1 0 1 2 0 0 2