Unformatted text preview: (x, y, z ) = ( 5x + 3y 2y + z ). z , 2x + y, 4x A3.(a). We determine whether T2 is onetoone by examining its kernel. Now ker(T1 ) is the set of
(x, y, z ) such that T1 (x, y, z ) = (0, 0, 0), i .e.,
x y z=0 x z=0
2y = 0. We can solve this homogeneous system by row reducing
2
3
1
1
10
41 0
1 05 .
02
00
reorder the rows C EDRIC C HAUVE , FALL 2013 2 1
40
1 0
2
1 3
10
0 05 ,
10
2 MATH 8954 Fall 2010
Course Schedule f a cu lty of sc ie nce
d ep ar tment of mathem atics Week Date Sections Part/ References Topic/Sections from FS2009
and scale the second row by 1/2
1 Sept 7 I.1, I.2, I.3 2 14 I.4, I.5, I.6 3 21 II.1, II.2, II.3 Combinatorial
Structures
FS: Part A.1, A.2
Comtet74
Handout #1
(self study) 2 10
40...
View
Full Document
 Fall '10
 Russel
 Math, Linear Algebra, Algebra, 1911, Sophie

Click to edit the document details