A is a 2 x 2 matrix with eigenvectors v₁ =
$$\begin{bmatrix} 1 \\ -1 \end{bmatrix}$$ and v₂ =
$$\begin{bmatrix} 1 \\ 1 \end{bmatrix}$$ corresponding to eigenvalues λ₁ =
$$\frac{1}{2}$$ and λ₂ = 2, respectively, and x =
$$\begin{bmatrix} 7 \\ -3 \end{bmatrix}$$.
Find A¹⁰x.
A¹⁰x =
$$\begin{bmatrix} \\ \end{bmatrix}$$
