Question 4(a) Let T:R →R' and a={e,e,,e,,e}. be the standard basis of R' andB= {v,v,,v,} is some basis of R'. Suppose (e,)T =-2v (e,)T=v, +v,.(e,)T=-2v, +v, + v, and (e,)T =-v -3v,.%3D(i) Find the matrix T-(11) Verify your answer in (1) by showing that(x, r. . w) (T)= ((x,y..w)T),

Note that, here the elements are row vectors operate from left side,

Question 4 (a) Let T:R'→R' and a {e.e,.e,,e}. be the standard basis of R' and B={v,v,,v,} is some basis of R'. Suppose (e,)T =-2v. (e,)T=v, +v. (e, )T=-2v, +v, +v, and (e,)T =-y, -3v,. %3D (i) Find the matrix T- (11) Verify your answer in (1) by showing that (x.y. ,w) (T) ((x,y..w)T),

Question 4 (a) Let T:R'→R' and a {e.e,.e,,e}. be the standard basis of R' and B={v,v,,v,} is some basis of R'. Suppose (e,)T =-2v. (e,)T=v, +v. (e, )T=-2v, +v, +v, and (e,)T =-y, -3v,. %3D (i) Find the matrix T- (11) Verify your answer in (1) by showing that (x.y. ,w) (T) ((x,y..w)T),

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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