Chapter III linear mapping
1, linear space
(1) vector space
(2) Linear Space
Description:
a: if both of the adder (i.e., closed) and the number of multiplications (eight algorithms) in order to explain the linear space V is the number of fields F.;
b: the third rule calculation element 0 does not refer to a specific vector 0, as long as the third element is the algorithm elements ----- 0 Similarly, in the fourth calculation rule - as is of;
(3) group and Dimension Linear Space
2, linear space
Summary (corresponding to three or more common linear transformation):
a: linear change remains multiplication
b: a is substantially orthogonal transform
c: differential operator holding several multiplication adder
Linear transformation matrix representation:
Vector after performing a linear transformation relationship:
Because the base for linear transformation matrix is selected, it explores the relationship between different groups in the matrix is necessary.
