# How to find eigenvector

The following are the steps to find eigenvectors of a matrix: Step 1: Determine the eigenvalues of the given matrix A using the equation det (A – λI) = 0, where I is equivalent order identity matrix

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## 7.1: Eigenvalues and Eigenvectors of a Matrix

To find the eigenvectors of a matrix A: First find its eigenvalues by solving the equation (with determinant) |A - λI| = 0 for λ. Then substitute each eigenvalue in A v = λ v and solve it for v.

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## How to Find Eigenvalues and Eigenvectors: 8 Steps

Steps 1. Understand determinants. The determinant of a matrix when is non-invertible. 2. Write out the eigenvalue equation. As mentioned in the introduction, the action of on is simple, and

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## Eigenvalues and Eigenvectors

The eigenvalues of A are the roots of the characteristic polynomial p(λ) = det (A– λI). For each eigenvalue λ, we find eigenvectors v = [v1 v2 ⋮ vn] by solving the linear system (A– λI)v = 0. The

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