Compute the trace of matrix \(A\).
#1. \(A=\begin{bmatrix} 4 & 10\\-2 & 1\\\end{bmatrix}\)
#2. \(A=\begin{bmatrix} -4 & -8\\3 & 6\\\end{bmatrix}\)
#3. \(A=\begin{bmatrix} -2 & -7 & 6\\8 & -8 & -1\\10 & 8 & -5\\\end{bmatrix}\)
#4. \(A=\begin{bmatrix} 4 & 2 & -4\\-6 & 7 & 66\\-8 & -5 & 2\\\end{bmatrix}\)
Compute the eigenvalues of matrix \(A\).
#5. \(A=\begin{bmatrix} -6 & -8\\4 & 6\\\end{bmatrix}\)
#6. \(A=\begin{bmatrix} -3 & 0\\0 & -3\\\end{bmatrix}\)
#7. \(A=\begin{bmatrix} -1 & 6 & 3\\1 & -2 & -1\\-2 & 8 & 4\\\end{bmatrix}\)
#8. \(A=\begin{bmatrix} -\frac{3}{4} & -1 & \frac{3}{4}\\-\frac{1}{4} & -1 & \frac{1}{4}\\\frac{5}{4} & -1 & -\frac{5}{4}\\\end{bmatrix}\)
Choose a set of correct eigenvectors of matrix \(A\).
#9. \(A=\begin{bmatrix} -1 & 0\\1 & -2\\\end{bmatrix}\)
#10. \(A=\begin{bmatrix} -\frac{5}{3} & -\frac{4}{3}\\-\frac{2}{3} & -\frac{7}{3}\\\end{bmatrix}\)
Choose a set of correct eigenvectors for the matrix \(A\).
#11. \(A=\begin{bmatrix} 0 & 0 & 0\\0 & -1 & 0\\0 & 0 & -2\\\end{bmatrix}\)
#12. \(A=\begin{bmatrix} -2 & 6 & 6\\2 & -2 & -2\\-2 & 3 & 3\\\end{bmatrix}\)