71-1H- 12-1-1323A linear transformation T : R² → R³ is defined byT(x) = Ax.Let A=Find an x =x1 =x2 =and b-X1[]x2in R2 whose image under T is b.

Answered: 1 7 -1 - 12 -1 3 2 3 A linear…

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,...

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Related questions

Question

7
1
-1
H
- 12
-1
-1
3
2
3
A linear transformation T : R² → R³ is defined by
T(x) = Ax.
Let A
=
Find an x =
x1 =
x2 =
and b
-
X1
[]
x2
in R2 whose image under T is b.

Expert Solution

Step 1: given data

$A equals open parentheses table row 1 cell negative 1 end cell row cell negative 1 end cell 2 row cell negative 1 end cell cell negative 1 end cell end table close parentheses comma thin space thin space b equals open parentheses table row 7 row cell negative 12 end cell row 3 end table close parentheses$

The system Ax=b is,

$open parentheses table row 1 cell negative 1 end cell row cell negative 1 end cell 2 row cell negative 1 end cell cell negative 1 end cell end table close parentheses open parentheses table row cell x subscript 1 end cell row cell x subscript 2 end cell end table close parentheses equals open parentheses table row 7 row cell negative 12 end cell row 3 end table close parentheses$