Let A =MB (f) be the matrix associated withB'the linear map f((x,y,z)=(x-2y,y+z,0)relativetotheB={u= (1,0,3); v = (0,2,1); w=(2,1,0)}andB'={u'=(0,0,2) ;v' = (1,0,3);w' = (1,2,1)}.Then the third column of A is:A.B.D.- 1/21/21/2OC. (2E3E.321/21/2- 1/2bases1/2- 1/21/2

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Answered: Let A = MB (f) be the matrix associated…

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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Let A = MB (f) be the matrix associated with B the linear map f((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' = (1,2,1) }. Then the third column of A is: OA.(-1/2 B. C. D. O E. 1/2 1/2 3 2 2 3 1/2 1/2 -1/2 1/2 (1) - 1/2 1/2