Let: R² R³ be a linear map such that /(1,2)=(1,1,2), and /(2,1)=(2,2,1). Then which equalitie are correct? f(0,0) = (0,0,0). ƒ(1, 1) = (1, 1, 1). Of(-1,1)=(-1,-1,1). O(-1,-1)=(-1,-1,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 64E
icon
Related questions
Question
Let: R² R³ be a linear map such that /(1,2)=(1,1,2), and /(2,1)=(2,2,1). Then
which equalitie are correct?
f(0,0) = (0,0,0).
ƒ(1, 1) = (1, 1, 1).
Of(-1,1)=(-1,-1,1).
Of(-1,-1)=(-1,-1,1).
Transcribed Image Text:Let: R² R³ be a linear map such that /(1,2)=(1,1,2), and /(2,1)=(2,2,1). Then which equalitie are correct? f(0,0) = (0,0,0). ƒ(1, 1) = (1, 1, 1). Of(-1,1)=(-1,-1,1). Of(-1,-1)=(-1,-1,1).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,