Shortcut Method to Find Eigenvectors of 3 × 3 matrix | Distinct Eigenvalues | Linear Algebra

In this video we discuss a shortcut method to find eigenvectors of a 3 × 3 matrix when the eigenvalues are distinct. In this case eigenvectors can be found simply by an appropriate matrix-vector product. The are also become the nonzero columns of two eigenmatrix product.

The term Eigenmatrix is a new term introduced to the realm of mathematics, and well align with the terms eigenvalues and eigenvectors. For such matrices we use the notation κ (Greek letter kappa), since we use λ and μ for eigenvectors and ν (Nu) for eigenvectors. It is interesting to note that κ, λ, μ and ν are four consecutive letters of the Greek alphabet.

Shortcut method to find eigenvectors

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#Eigenvalue #Eigenvector #Eigenmatrix