[0.501.501.500.50][1.002.00]=[3.502.50]\begin{bmatrix}0.50&1.50\\1.50&0.50\end{bmatrix}\color{#e31a1b}{\begin{bmatrix}1.00\\2.00\end{bmatrix}}=\color{#b61416}{\begin{bmatrix}3.50\\2.50\end{bmatrix}}[0.501.501.500.50][1.002.00]=[3.502.50]
The -1.00-eigenspace has algebraic multiplicity 1 and geometric multiplicity 1
The 2.00-eigenspace has algebraic multiplicity 1 and geometric multiplicity 1