(c) Are the vectors = (3, 1, 2, 1), v2 = (-1,0,1,0), 03 independent? Explain why. (3,0,0,3), v4 (5, -2,0, 4) linearly

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 72E
icon
Related questions
Question
please send handwritten solution for Q 4 part c
4. Evaluate the determinant of the matrix by using a convenient column or row.
(a)
3
-1
1
A =
2
0 0
1 0
-2
1
0 3
4
(b) Is A invertible? Why?
(3,0,0,3), đ4 = (5,–2,0, 4) linearly
(c) Are the vectors v1 = (3, 1, 2, 1), v2 = (-1,0,1,0), v3
independent? Explain why.
(d) Is {v1, 02, T3, 74} a basis for R4? Why?
Transcribed Image Text:4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 1 A = 2 0 0 1 0 -2 1 0 3 4 (b) Is A invertible? Why? (3,0,0,3), đ4 = (5,–2,0, 4) linearly (c) Are the vectors v1 = (3, 1, 2, 1), v2 = (-1,0,1,0), v3 independent? Explain why. (d) Is {v1, 02, T3, 74} a basis for R4? Why?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax