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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?