A plane figure S is to be translated by I = [ -~ ] and then the resulting figure

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

ISBN: 9780132296540 301

Solution for problem 4 Chapter 6.6

Elementary Linear Algebra with Applications | 9th Edition

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Problem 4

A plane figure S is to be translated by I = [ -~ ] and then the resulting figure translated by v = [ _ ~]. (a) Determine the 3 x 3 matrix M in homogeneous form that will perfonl1this composition of translations. (b) Can the transfonnations be reversed? That is. is it possible to detennine a matrix P that will return the image from part (a) to the original position? If it is possible, determine the matrix P. Explain your construction of P

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Step 1 of 3

-------vlt -bg +z- tx- . oe,r, +\*[ i-lD=6 f-3 lo' L,f"r)r Q- I -_a--T- t-^-i \ / -Lr=. =O I 3u/ )--=Lnb _ g ln-I- - ---\_, Z . -\J =101, S"*t e.)'- = ( \+ \ ^.-; n>9-= (1I)A-\ -*f -- --O,oq"6 t 7o, -.1 -\ ^=> f:- ->loo( ot=t = ,005 + \Oo( [,00$' \00 cro5 o: E_ qlrit "o-aA \ -l o Lt4-€-rL)fL =O.OO rz f\ =uf--ltC, l)to wo =22 L-U=Z O =S+D,q: = = z-T-_-___ =16\-\Ot1-\-.=

Step 2 of 3

Chapter 6.6, Problem 4 is Solved

Step 3 of 3

Textbook: Elementary Linear Algebra with Applications

Edition: 9

Author: Bernard Kolman David Hill

ISBN: 9780132296540

This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 1519 solutions. The answer to “A plane figure S is to be translated by I = [ -~ ] and then the resulting figure translated by v = [ _ ~]. (a) Determine the 3 x 3 matrix M in homogeneous form that will perfonl1this composition of translations. (b) Can the transfonnations be reversed? That is. is it possible to detennine a matrix P that will return the image from part (a) to the original position? If it is possible, determine the matrix P. Explain your construction of P” is broken down into a number of easy to follow steps, and 84 words. The full step-by-step solution to problem: 4 from chapter: 6.6 was answered by , our top Math solution expert on 01/30/18, 04:18PM. This textbook survival guide was created for the textbook: Elementary Linear Algebra with Applications, edition: 9. Elementary Linear Algebra with Applications was written by and is associated to the ISBN: 9780132296540. Since the solution to 4 from 6.6 chapter was answered, more than 268 students have viewed the full step-by-step answer.