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In Exercises 5 through 40, find the matrix of the given linear transformation T with |

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 32 Chapter 4.3

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 32

In Exercises 5 through 40, find the matrix of the given linear transformation T with respect to the given basis. If no basis is specified, use the standard basis: 91 = (1, f, t2) for P2,T (fit)) = /( l) + /'(l)(r-l)fro m P 2 to P2.Interpret transformation T geometrically.

Step-by-Step Solution:
Step 1 of 3

qt /,x LI , t 0 t'c/ar,fu ,,,,t^€) &-xt QLv Q: \ r\ L\j"X -\ t,I \ .J J''l X \,t:a(XJ -2 a{ ts iJ xt -- + x {C,rl N',- 3 ^ ^ t'"(;'&A,'eu3r\ { , a,,J J-{''"{f 6) x' - x ' l.)C* ll f*c{) l}e /'a 1fi= c Lye (/\*=+(Cr)'u u, --k("r--r )c *)'t( z "{ lo ..jj' hC[*/ ,[CJ- C'*U,mD 'l t1": LrDtr'uto)o C) +-C*O Ue F, L-ICfu U z (* -. \^' t \qi*1it

Step 2 of 3

Chapter 4.3, Problem 32 is Solved
Step 3 of 3

Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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In Exercises 5 through 40, find the matrix of the given linear transformation T with |