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Consider a linear transformation T: R2 ⟶ R3, whose matrix T. Also consider the bases β={(1,0),(0,1)} base of R2 and β′={(1,0,1),(−2,0,1),(0,1,0)} base of R3. So what's the image T(1, -3,)?    Choose an option: (a) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) + 11.(0, 1, 0) (b) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) − 11.(0, 1, 0) (c) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) + 11.(0, 1, 0) (d) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) − 11(0, 1, 0) (e) T (1,−3) = −4.(1, 0, 1) − 3.(−2, 0, 1) − 11.(0, 1, 0)

Consider a linear transformation T: R2 ⟶ R3, whose matrix T. Also consider the bases β={(1,0),(0,1)} base of R2 and β′={(1,0,1),(−2,0,1),(0,1,0)} base of R3. So what's the image T(1, -3,)?    Choose an option: (a) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) + 11.(0, 1, 0) (b) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) − 11.(0, 1, 0) (c) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) + 11.(0, 1, 0) (d) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) − 11(0, 1, 0) (e) T (1,−3) = −4.(1, 0, 1) − 3.(−2, 0, 1) − 11.(0, 1, 0)

Advanced Engineering Mathematics
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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Consider a linear transformation T: R2 ⟶ R3, whose matrix T.

Also consider the bases β={(1,0),(0,1)} base of R2 and β′={(1,0,1),(−2,0,1),(0,1,0)} base of R3. So what's the image T(1, -3,)? 

 

Choose an option:

(a) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) + 11.(0, 1, 0)

(b) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) − 11.(0, 1, 0)

(c) T (1,−3) = 4.(1, 0, 1) + 3.(−2, 0, 1) + 11.(0, 1, 0)

(d) T (1,−3) = 4.(1, 0, 1) − 3.(−2, 0, 1) − 11(0, 1, 0)

(e) T (1,−3) = −4.(1, 0, 1) − 3.(−2, 0, 1) − 11.(0, 1, 0)

 
 
 
 
 
 
 
1 –1 [T L-2 3 ||
Transcribed Image Text:1 –1 [T L-2 3 ||
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