Transformation matrix
Central object in linear algebra; mapping vectors to vectors / From Wikipedia, the free encyclopedia
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In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then
for some matrix , called the transformation matrix of .[citation needed] Note that has rows and columns, whereas the transformation is from to . There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors.[1][2]