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For the matrix, list the real eigenvalues, repeated according to their multiplicities_9 1The real eigenvalues are (Use comma separate answers as needed )...

Question

For the matrix, list the real eigenvalues, repeated according to their multiplicities_9 1The real eigenvalues are (Use comma separate answers as needed )

For the matrix, list the real eigenvalues, repeated according to their multiplicities_ 9 1 The real eigenvalues are (Use comma separate answers as needed )



Answers

In Problems 9 and 10 , some of the eigenvalues of the given matrix are complex. Find all the eigenvalues and eigenvectors.
$\left[ \begin{array}{rr}{0} & {-1} \\ {1} & {0}\end{array}\right]$

So we have our matrix of three 0000 and then negative. Five 1000 three 8000 zero Negative. Seven to 10 Negative for one. Knowing negative too. Three. What's great about this is that this is once again a triangular matrix. Because every entry above the diagonal line is zero living. All these entries in the bottom left half. So that means all we need to do to find the Eigen values is pick up all the Dagnall entries like this three. This one, this zero, this one and this three. So the Eigen values are going to be zero with multiplicity. One one with multiplicity, too. In three. What? Multiplicity, too? Yeah, we're done.


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