Let R³ R³ be a linear transformation such that 7(1, 1, 1) =(2, 0, -1), 7(0, -1, 2) = (-3, 2, -1), and 7(1, 0, 1) = (1, 1, 0) Find 7(5, 4,-3) O a. T(5, 4, -3)= (17,-3,-4) O b. T(5, 4,-3)= (17, -3, 4) O c. 7(5, 4, -3)= (13, -7, 4) De. (5, 4,-3)=(18,-1, 4) CamScanner

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...
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Let R³ R³
be a linear transformation such that
T(1, 1, 1)=(2, 0, -1), 7(0, -1,2)=(-3, 2, -1), and 7(1, 0, 1) = (1, 1, 0)
Find 7(5, 4,-3)
O a. T(5, 4, -3) = (17, -3, -4)
O b. T(5, 4,-3)= (17, -3, 4)
O c. I(5, 4, -3) = (13, -7,4)
d. 7(5, 4,-3)= (13, -7,-4)
De. (5, 4, -3) =(28,-1, 4)
1
CamScanner
Transcribed Image Text:Let R³ R³ be a linear transformation such that T(1, 1, 1)=(2, 0, -1), 7(0, -1,2)=(-3, 2, -1), and 7(1, 0, 1) = (1, 1, 0) Find 7(5, 4,-3) O a. T(5, 4, -3) = (17, -3, -4) O b. T(5, 4,-3)= (17, -3, 4) O c. I(5, 4, -3) = (13, -7,4) d. 7(5, 4,-3)= (13, -7,-4) De. (5, 4, -3) =(28,-1, 4) 1 CamScanner
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