(Solved): 1. Find the norm of the vector \( v=\left[\begin{array}{c}0 \\ 3 \\ -4\end{array}\right] \). 2. Fin ...

1. Find the norm of the vector \( v=\left[\begin{array}{c}0 \\ 3 \\ -4\end{array}\right] \). 2. Find the vector in the same direction as \( v=\left[\begin{array}{c}8 \\ -1 \\ 4\end{array}\right] \) with magnitude 3 . 3. Find the eigenvalues and normalized eigenvectors of the matrix \( A \) \[ A=\left(\begin{array}{cc} 2 & 2 \\ 5 & -1 \end{array}\right) \]