(b) By determining constants c,, C2, C3 and c4, which are not all zero and are such that cifi(x) + c2f2(x) + c3f3(x) + c4f¾(x) = 0, show that the functions fi = x, fz = e*, f3 = xe*, fa = (2 – 3x)e* are linearly dependent. %3D -

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
icon
Related questions
Question
(b) By determining constants c1, C2, C3 and c4, which are not all zero and are such that
Cifi(x) + c2f2(x) + czf3(x) + C4f4(x) = 0, show that the functions fi = x, f2 =
ex, f3 = xe*, fa = (2 – 3x)e* are linearly dependent.
Transcribed Image Text:(b) By determining constants c1, C2, C3 and c4, which are not all zero and are such that Cifi(x) + c2f2(x) + czf3(x) + C4f4(x) = 0, show that the functions fi = x, f2 = ex, f3 = xe*, fa = (2 – 3x)e* are linearly dependent.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning