Page 614 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 614
As indicated in the accompanying figure, let be the orthogonal projection on the line .
5.
(a) Find the kernel of T.
(b) Is T one-to-one? Justify your conclusion.
Figure Ex-5
As indicated in the accompanying figure, let be the linear operator that reflects each point about the y-axis.
6.
(a) Find the kernel of T.
(b) Is T one-to-one? Justify your conclusion.
Figure Ex-6
In each part, use the given information to determine whether the linear transformation T is one-to-one.
7.
(a) ;
(b) ;
(c) ;
(d) ;
In each part, determine whether the linear transformation T is one-to-one.
8.
