Home / Expert Answers / Advanced Math / show-that-the-matrix-is-not-diagonalizable-3-4-3-0-3-1-0-0-4-step-1-use-the-fact-that-th-pa849

(Solved): Show that the matrix is not diagonalizable. [[3,-4,3],[0,3,1],[0,0,4]] STEP 1: Use the fact that th ...



Show that the matrix is not diagonalizable.

[[3,-4,3],[0,3,1],[0,0,4]]

STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.)

(\lambda _(1),\lambda _(2))=1

STEP 2: Find the eigenvectors

x_(1)

and

x_(2)

corresponding to

\lambda _(1)

and

\lambda _(2)

, respectively.

x_(1)= x_(2)=

STEP 3: Since the matrix does not have linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable. Need Help?



We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe