Consider the basis B = {(2, 1), (3, 1}} for V = R2 and let {x1, x2} be the dual basis of B. Then for an arbitrary pair (c, d) e V, the set {x1(c, d), x2(c, d)} is equal to: O {(3d-c), (c-2d)} {(3d+ c), (c+ 2d)} O {(2d-c), (c + 3d)} O {(2d+c), (c + 3d)} O {(3d+c), (2c - d)}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 43E
icon
Related questions
Question
Consider the basis B = {(2, 1), (3, 1}} for V = R2 and let {x1, x2} be the dual basis of B.
Then for an arbitrary pair (c, d) e V, the set {x1(c, d), x2(c, d)} is equal to:
O {(3d-c), (c-2d)}
O {(3d+ c), (c+ 2d)}
O ((2d-c), (c + 3d)}
{(2d+c), (c + 3d)}
O {(3d+c), (2c-d))
Transcribed Image Text:Consider the basis B = {(2, 1), (3, 1}} for V = R2 and let {x1, x2} be the dual basis of B. Then for an arbitrary pair (c, d) e V, the set {x1(c, d), x2(c, d)} is equal to: O {(3d-c), (c-2d)} O {(3d+ c), (c+ 2d)} O ((2d-c), (c + 3d)} {(2d+c), (c + 3d)} O {(3d+c), (2c-d))
Expert Solution
trending now

Trending now

This is a popular 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 Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning