+Theorems of Section 5.1
Theorem 1
The Eigenvalues of a triangular matrix are the entries on its main diagonal

Theorem 2
If $v_1, ..., v_r$ are eigenvectors that correspond to distinct eigenvalues $\lambda_1,...,\lambda_2$ of an $n \times n$ matrix $A$, then the set ${v_1, ..., v_r}$ is linearly independent.

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