(d) Is {v1, 02, T3, 74} a basis for R4? Why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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please send handwritten solution for Q 4 part d
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?
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