1. Let A=MB (f) be the matrix associated with the linear mapf(x,y,z) = (2x-2y+z, x-4y+z, x-y-z) relative to the basesB={u=(5, 16, 1); v = (2,1,-4); w=(7,17,2) }andB'= {u'=(2,0,1); v' = (1,0,1); w'=(3,2,0)) Then the secondcolumn of A is:A. 2"B33B.C.2@-41002°1D. 231E. 213

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Answered: 1. Let A=MB (f) be the matrix…

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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1. Let A=MB (f) be the matrix associated with the linear map f(x,y,z) = (2x-2y+z, x-4y+z, x-y-z) relative to the bases B={u=(5,16,1); v= (2,1,-4); w=(7,17,2)} and B'= {u'=(2,0,1); v' = (1,0,1); w'=(3,2,0)) Then the second column of A is: A. 2 "B 3 3 B. C. 2 @ -4 1 0 0 2 ° 1 D. 2 3 1 E. 2 1 3