Transformation matrix

Effect of applying various 2D affine transformation matrices on a unit square. Note that the reflection matrices are special cases of the scaling matrix.

Affine transformations on the 2D plane can be performed in three dimensions. Translation is done by shearing along over the z axis, and rotation is performed around the z axis.

In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping R to R and $\vec x$ is a column vector with n entries, then

for some m×n matrix A, called the transformation matrix of T. There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors.

单词	Eigenvalue equation
释义	Eigenvalue equation 英语百科 Transformation matrix In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping R to R and $\vec x$ is a column vector with n entries, then for some m×n matrix A, called the transformation matrix of T. There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors.
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Eigenvalue equation

Transformation matrix