## Jordan form - diagonalizable matrices

Factorize the following matrix as $$\mathbf R\mathbf J\mathbf R^{-1}$$, where $$\mathbf R$$ is regular and $$\mathbf J$$ is in the Jordan normal form.

• #### Variant 1

$$\begin{pmatrix} -11 & 30 \\ -10 & 24 \\ \end{pmatrix}$$

• #### Variant 2

$$\begin{pmatrix} 0 & 2 & -2 \\ 1 & -1 & 5 \\ 2 & -4 & 8 \\ \end{pmatrix}$$

• #### Variant 3

$$\begin{pmatrix} 2 & 0 & 0 \\ -4 & 1 & 3 \\ -4 & 0 & 4 \\ \end{pmatrix}$$

• #### Variant 4

$$\begin{pmatrix} 4 & -2 & 0 \\ 0 & 2 & 0 \\ 6 & -5 & 1 \\ \end{pmatrix}$$