Math Problem Statement

please correctly solve this problem

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues and Eigenvectors
Matrix Diagonalization

Formulas

P^{-1} A P = D
Determinant formula for matrix inversion
Eigenvalue computation for matrices

Theorems

Diagonalization theorem
Eigenvalue theorem

Suitable Grade Level

Undergraduate (Introductory Linear Algebra)