## 5.7 Problems

5.1 Find the eigenvalues and associated eigenvectors for the matrix $1309.$

5.2 Find the eigenvalues and associated eigenvectors for the matrix $1216−10−1−2−1.$

5.3 Let $A=121021302$ Verify that (A− 1)T = (AT)− 1.

5.4 Let $A=1423,B=−171−4.$ Verify that AB and BA have the same eigenvalues.

5.5 Show that the following properties hold for similar ...

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