() - ) 13 + 11 Let L R → R³ be the linear transformation defined as Lx2 x2 + x1, then dim(ker(L)) (a) 1 (b) 2 (c) 3 (d) 0 (a) O (b) O (c) O (d) O

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 23E: Let T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find...
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() -)
r3 +x1
Let L : R3 → R³ be the linear transformation defined as L x2
x2 + x1, then
X2 + x1
X3
dim(ker(L))
(a) 1
(b) 2
(c) 3
(d) 0
(a) O
(b) O
(c) O
(d) O
Transcribed Image Text:() -) r3 +x1 Let L : R3 → R³ be the linear transformation defined as L x2 x2 + x1, then X2 + x1 X3 dim(ker(L)) (a) 1 (b) 2 (c) 3 (d) 0 (a) O (b) O (c) O (d) O
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