Question

Consider the system and find the eigenvalues and the eigenvectors

Answer 1

Eigenvalues are the special set of scalar values which is associated with the set of linear equations in matrix equations.

What are Eigenvalues?

Your information is incomplete. Therefore, an overview will be given. An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.

The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in thesame direction or opposite direction to X.

Since the zero vector 0 has no direction, 0 is never allowed to be an eigenvector.

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