Let S = {1,2, 3} and let T: R3 → Fun(S) be the linear transformationТ(т, у, 2) — (г + 2y + 2г) х1 + (-2г — Зу — 32) х2 + (-~ — Зу — 42) хзCompute the inverse transformation T-1T (a x1 + bx2+cx3) = (-5a,8b,-5c)

Answered: Image /qna-images/answer/d745143b-9433-48ed-b0b2-991b78cbc2b6.jpg

Answered: Let S = {1,2, 3} and let T: R3 → Fun(S)…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

3. Determine if the following mappings are linear transformations. Explain your answer. (а) Т: Р.(R) — Р.(R), where T (ао + ајx) — (Зао — 4а,) + ај + аga? (b) Т: Р: (R) P.(R), where T(ао +ајz + az2?) 3 (аэ — 12а1) + (ај + Зао) 2
2 -2 -[:]~-~-[;) - - [³ ]-~^»-[*³] and and e₂= and Y₂ = 5 6 Let e, = into y₂. Find the images of The image of 5 [3] -3 is 5 5] -3 and X₂ X2 and let T. R² R² be a linear transformation that maps e, into y, and maps e₂ →
The matrices A₁ = A3 [] = ^--^- A₂ = [] =[] A4 form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R 2x2R 2x2 such that T(A) = 3A + 10AT relative to this basis.
Suppose M is a linear transformation taking vectors in R² to vectors in R2, where M(1,0)=(2,-4) M(0, 1) = (-6,6) M(2,9) = (
Suppose T is a linear transformation, where (1, 0, 0) T(u) T(7) (0, 1,0) W (0,0,1) T(w) Then I can be represented by the matrix ū V = = = T= = = = (5, -3, -2) (-2,-1,0) (0,5, 4)
Write a rule to describe each transformation
Suppose T: M2,2→→P2 is a linear transformation whose action on a basis for M2,2 is as follows: [18]-- Describe the action of T on a general matrix, using x as the variable for the polynomial and a, b, c, and d as constants. Use the character to indicate an exponent, e.g. ax^2-bx+c. = -2x+5 T = 0 1 1 -2 -2 = -x+4 T -4 -2 = 2x² +4x-26 T 00 = -2x²+2x+10
Let L be a linear transformation on R2 such that L([1,1]) = ([-2,1]) and L([-1,1]) = [7,-1]. then what's the vector L([7,-1]) sorry to but the numbers in the brackets are in columns, I don't know how to write it thats why.

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

Let S = {1,2, 3} and let T: R3 → Fun(S) be the linear transformation T(г, у, 2) — (г +2у + 2:) х1 + (-2а — Зу — 3г) хэ + (-z — Зу — 4г) хз | Compute the inverse transformation T–1 T '(ax1+bx2 +cx3) (-5а,8b,-5c)