How to check if a vector is an eigenvector

In this video, we demonstrate a simple check to see if a vector is an eigenvector for a matrix and what that eigenvalue would be.Linear Algebra Done Openly i

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How to check if eigenvectors are correct?

Find the eigenvalues of the given matrix A, using the equation det ((A – λI) =0, where “I” is equivalent order identity matrix as A. Denote each eigenvalue of λ1, λ2, λ3. Substitute the
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Eigenvalues and Eigenvectors

Notice how we multiply a matrix by a vector and get the same result as when we multiply a scalar (just a number) by that vector. How do we find these eigen things? We start by finding the