Vector Transformations and Eigenvectors of 2×2 Matrix

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This Demonstration shows the transformation represented by a matrix
applied to a
vector
. The vector
is transformed to a new vector
, shown in color. If the vector
is an eigenvector of
, then
is simply scaled by
, the eigenvalue, without changing direction (except the direction is reversed if
.) Color-coded formulas show the calculation of the inverse, determinant and new vector
, as well as the eigenvectors of
.
Contributed by: Timothy Newlin (August 2020)
(United States Military Academy West Point)
Open content licensed under CC BY-NC-SA
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