Transformation matrix

id: transformation-matrix-167-7205719
title: Transformation matrix
text: In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping R n to R m and x is a column vector with n entries, then T = A x for some m × n matrix A, called the transformation matrix of T. Note that A has m rows and n columns, whereas the transformation T is from R n to R m. There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors.
brand slug: wiki
category slug: encyclopedia
description: Central object in linear algebra; mapping vectors to vectors
original url: https://en.wikipedia.org/wiki/Transformation_matrix
date created: 2004-05-30T22:52:03Z
date modified: 2024-08-30T09:05:37Z
main entity: {"identifier":"Q1482183","url":"https://www.wikidata.org/entity/Q1482183"}
image:
fields total: 13
integrity: 15

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