Add us as your Algebra Help Resource!
 

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.

If you would like to share this article, feel free to syndicate it with a link to this article or to our algebra help site ,stating its ownership .Legal action will be taken against those who do not do so.For more information on linking, please go to 'link to us' link found below.