[線代] 線性映射

[dkcheng (電磁霸主)]

                                 2                   2    2
    An affine transformation of R  is a function T: R → R  of the form

                                                         2
T(x)=Ax+b, where A is an invertible 2x2 matrix and b屬於R . Which of the


following statements are correct ?

     -1     -1   -1
(A) T  (x)=A  x-A  b


(B) Affine transformations map straight lines to straight lines.


(C) There is no affine transformation that can map a straight line to a circle


(D) Affine transformations map parallel straight lines to parallel straight

lines.

(E) There exists an affine transformation that maps parallel straight lines

to intersecting straight lines.


覺得這題頗難的...

麻煩各位了


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