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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