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✓ Question Completion Status: Let_A=M³₁(f) be the matrix associated with the linear map f((x,y,z)) = (x-2y,y+z,0) relative bases B to the B={u=(1,0,3); v = (0,2,1), w=(2,1,0) } and B'={u'= (0,0,2); v' = (1,0,3); w'=(1,3,1)} Then the first column of A is: 1/2 - – 1/2 1/2 - 1/2 1/2 - 1/2

✓ Question Completion Status: Let_A=M³₁(f) be the matrix associated with the linear map f((x,y,z)) = (x-2y,y+z,0) relative bases B to the B={u=(1,0,3); v = (0,2,1), w=(2,1,0) } and B'={u'= (0,0,2); v' = (1,0,3); w'=(1,3,1)} Then the first column of A is: 1/2 - – 1/2 1/2 - 1/2 1/2 - 1/2

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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* Question Completion Status: Let A=M(f) be _A=M³ B' the matrix associated with the linear map ƒ((x,y,z)) = (x - 2y,y+z,0) relative to the bases B={u= (1,0,3); v = (0, 2, 1), w=(2,1,0) } and B'={u'=(0,0,2); v' = (1,0,3); w' = (1,3,1)} Then the first column of A is: 1/2 - 1/2 1/2 (ƒ) - 1/2 1/2 - 1/2
Transcribed Image Text:* Question Completion Status: Let A=M(f) be _A=M³ B' the matrix associated with the linear map ƒ((x,y,z)) = (x - 2y,y+z,0) relative to the bases B={u= (1,0,3); v = (0, 2, 1), w=(2,1,0) } and B'={u'=(0,0,2); v' = (1,0,3); w' = (1,3,1)} Then the first column of A is: 1/2 - 1/2 1/2 (ƒ) - 1/2 1/2 - 1/2
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