Math Problem Statement

For each of the given matrices A, find all the eigenvalues and corresponding eigenvectors. Verify your results by multiplication.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrix Multiplication

Formulas

Eigenvalue equation: A * v = λ * v
Determinant equation: det(A - λI) = 0
Matrix-vector multiplication

Theorems

Eigenvalue Theorem
Diagonalization Theorem

Suitable Grade Level

Undergraduate (College Level)

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