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A square matrix can be used to transform a vector in length,
direction, or both. For example, a vector with two elements can be
post-multiplied by a 2x2 matrix to generate a new two-element vector. If
the vector is unchanged in direction, the vector is an 'eigen vector' for the
matrix. Literally, this means "it's own vector" for the
matrix. Such a special vector can be thought of as 'belonging to' the
matrix. The ratio of new to old length is called an 'eigen value' for the
matrix. A pxp matrix may have up to p eigen vectors and eigen
values.
Dale Berger
Professor and Dean, Psychology Claremont Graduate University 123 East Eighth Street Claremont, CA 91711
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- eigenvalue: origin of term Karl L. Wuensch
- Dale Berger
