Linear Algebra tutorial: Linear Transformation (original) (raw)
A multiplication of a matrix
with a vector
will produce the transformation of the vector
. When matrix
has size
by
and vector
is in
dimensions then the result is vector
in
dimensions.
This is the third section of Linear Algebra tutorial that you will learn about the usage of matrix and vector in solving linear equation and creating coordinate system.
The following are the topics of this section:
Matrix Generalized Inverse
Solving System of Linear Equations
Linear combination, Span & Basis Vector
Linearly Dependent & Linearly Independent
Change of basis
Matrix Rank
Matrix Range
Matrix Nullity & Null Space
Resources on Linear Algebra
See Also : Vector Algebra , Matrix Algebra , Eigen System
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