1462078327
Eigenvalues & EigenvectorsName __________

Compute the trace of matrix \(A\).

#1. \(A=\begin{bmatrix} 10 & 3\\8 & 7\\\end{bmatrix}\)
#2. \(A=\begin{bmatrix} 1 & -2\\-2 & 10\\\end{bmatrix}\)
#3. \(A=\begin{bmatrix} -4 & 8\\6 & -12\\\end{bmatrix}\)
#4. \(A=\begin{bmatrix} 9 & 9\\1 & 1\\\end{bmatrix}\)
#5. \(A=\begin{bmatrix} -7 & 1 & -29\\2 & 7 & 1\\6 & -1 & 25\\\end{bmatrix}\)
#6. \(A=\begin{bmatrix} 9 & -8 & 11\\-5 & 10 & 5\\8 & -4 & 16\\\end{bmatrix}\)

Choose a set of correct eigenvectors of matrix \(A\).

#7. \(A=\begin{bmatrix} -1 & 0\\0 & -1\\\end{bmatrix}\)
#8. \(A=\begin{bmatrix} \frac{5}{3} & \frac{1}{6}\\\frac{4}{3} & \frac{4}{3}\\\end{bmatrix}\)
#9. \(A=\begin{bmatrix} -2 & 0\\0 & -2\\\end{bmatrix}\)
#10. \(A=\begin{bmatrix} -2 & 0\\0 & -2\\\end{bmatrix}\)
#11. \(A=\begin{bmatrix} 8 & 6\\-8 & -6\\\end{bmatrix}\)
#12. \(A=\begin{bmatrix} 1 & 0\\0 & 0\\\end{bmatrix}\)

Compute the eigenvalues of matrix \(A\).

#13. \(A=\begin{bmatrix} 2 & 0 & 0\\4 & -4 & -4\\-2 & 2 & 2\\\end{bmatrix}\)
#14. \(A=\begin{bmatrix} 0 & 3 & 0\\\frac{6}{5} & 3 & -\frac{12}{5}\\\frac{3}{2} & \frac{3}{2} & -3\\\end{bmatrix}\)

Choose a set of correct eigenvectors of matrix \(A\).

#15. \(A=\begin{bmatrix} -1 & -3\\0 & 0\\\end{bmatrix}\)
#16. \(A=\begin{bmatrix} 2 & 0\\0 & 0\\\end{bmatrix}\)
#17. \(A=\begin{bmatrix} -1 & \frac{4}{3}\\3 & 2\\\end{bmatrix}\)
#18. \(A=\begin{bmatrix} -1 & 0\\-\frac{3}{2} & 1\\\end{bmatrix}\)
#19. \(A=\begin{bmatrix} -1 & 0\\0 & -1\\\end{bmatrix}\)
#20. \(A=\begin{bmatrix} 0 & 0\\0 & 0\\\end{bmatrix}\)
#21. \(A=\begin{bmatrix} -2 & 0\\0 & 3\\\end{bmatrix}\)
#22. \(A=\begin{bmatrix} -11 & -12\\8 & 9\\\end{bmatrix}\)

Compute the trace of matrix \(A\).

#23. \(A=\begin{bmatrix} -4 & 10\\-10 & 6\\\end{bmatrix}\)
#24. \(A=\begin{bmatrix} -3 & -9\\-6 & -18\\\end{bmatrix}\)
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