Question

(1 point) Find all possible values of \( \alpha \), if any, for which the matrix \( A = \begin{bmatrix} -2 & -5 & 0 \\ -5 & -2 & 0 \\ 0 & 0 & \alpha \end{bmatrix} \) is not diagonalizable. If there are no such values, write none. \( \alpha = \underline{\qquad} \)

          (1 point) Find all possible values of \( \alpha \), if any, for which the matrix
\( A = \begin{bmatrix} -2 & -5 & 0 \\ -5 & -2 & 0 \\ 0 & 0 & \alpha \end{bmatrix} \)
is not diagonalizable. If there are no such values, write none.
\( \alpha = \underline{\qquad} \)

(1 point) Find all possible values of α, if any, for which the matrix
A =
< b m a t r i x >
is not diagonalizable. If there are no such values, write none.
α =

Added by Michael M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/15/2023

Step 1

If a matrix has a full set of linearly independent eigenvectors, then it is diagonalizable. Show more…

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(1 point) Find all possible values of alpha , if any, for which the matrix A=[[-2,-5,0],[-5,-2,0],[0,0,alpha ]] is not diagonalizable. If there are no such values, write none. alpha = 1 point) Find all possible values of , if any, for which the matrix 0 5 0 0 a is not diagonalizable. If there are no such values, write none