# Eigenvalues

Eigenvalues are a unique set of scalars that is usually referred with linear system of equations. The term eigenvalue is derived from the German word ``eigenwert'', which means ``proper value''. Each eigenvalue is paired off with a corresponding eigenvector A.

Generally the basic formula that involves eigenvalues and eigenvectors is

where X is the eigenvector and is its corresponding eigenvalue.Note that A is the matrix.

We let A be a 4 x 4 square matrix.

Applying the formula, we will arrive at the conclusion that

We bring the X over and we get

This is equivalent to DET(A- )X=

We have to indicate 0 as a vector.

Read on to find the eigenvalues when the eigenvector and matrix is given in our examples.

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