Math Problem Statement

5 0 0 1 1 0 −1 5 −2

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Algebra
Linear Algebra

Formulas

Determinant formula for a 3x3 matrix
Eigenvalue and eigenvector computation
Row-reduction (Gaussian elimination)
Trace of a matrix (sum of diagonal elements)

Theorems

Determinant theorem for triangular matrices
Eigenvalue theorem
Gaussian elimination

Suitable Grade Level

College Level (Linear Algebra)