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	Matrix transform
释义	Matrix transform 原声例句 Linear algebra Geometrically, this matrix transforms our grid into jennifer's grid, but numerically it's translating a vector described in her language to our language. 几何上这个矩阵将我们的网格转换成jennifer的网格但从数字上讲它将用她的语言描述的向量转换成我们的语言。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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Matrix transform

Transformation matrix