[線代] 線性映射
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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