Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrix Diagonalization
Upper Triangular Matrices

Formulas

Eigenvalues of a triangular matrix are the diagonal entries.

Theorems

Theorem: A matrix is diagonalizable if it has n linearly independent eigenvectors.
Theorem: Eigenvalues of an upper triangular matrix are the entries on the diagonal.

Suitable Grade Level

University Level - Linear Algebra