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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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