Eigenvalues and Eigenvectors of a 3x3 Matrix: A = [1, 0, -1; 1, 2, 1; 2, 2, 3]

Math Problem Statement

Find The eigen value and vector A = 1 O -1 1 2 1 223

Solution

It looks like you're trying to solve for the eigenvalues and eigenvectors of a matrix. However, the matrix you've written is not completely clear, and it seems like there might be a formatting issue.

Please confirm if the matrix $A$ is meant to be:

1 & 0 & -1 \\ 1 & 2 & 1 \\ 2 & 2 & 3 \end{bmatrix}$$ If this is the correct matrix, I can proceed with solving for the eigenvalues and eigenvectors. Let me know if this is correct, or feel free to upload a picture of the matrix for clarity!

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrices

Formulas

det(A - λI) = 0
Eigenvector formula: (A - λI)v = 0

Theorems

Eigenvalue Theorem
Diagonalization Theorem

Suitable Grade Level

Undergraduate (Linear Algebra)

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