(2) Let V₁ = V2 An Echelon form of (c) The linear system " [360 37 30 1 10 36 20 and V3 = Choose all of the true statements (there could be more than one): (d) If x₁v₁ + x₂V2 + x3V3 (a) The set {V₁, V2, V3} is linearly independent. (b) The set {V1, V2, V3} is linearly dependent. 360 37 3 1 2 1 362 = 3600 0130 0010 0 000 X1 X2 X3 861 has only one solution. 0, then at least one of x1, x2, or x3 are non-zero.

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 41E
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Question
(2)
Let V₁ =
V2
An Echelon form of
(c) The linear system
"
[360
37 30
12 10
36 20
and V3 =
Choose all of the true statements (there could be more than one):
(d) If x₁v₁ + x₂V2 + x3V3
(a) The set {V₁, V2, V3} is linearly independent.
(b) The set {V₁, V2, V3} is linearly dependent.
360
37 3
1 2 1
362
=
600
0130
0010
0 00 0
X1
X2
X3
686
has only one solution.
0, then at least one of x1, x2, or x3 are non-zero.
Transcribed Image Text:(2) Let V₁ = V2 An Echelon form of (c) The linear system " [360 37 30 12 10 36 20 and V3 = Choose all of the true statements (there could be more than one): (d) If x₁v₁ + x₂V2 + x3V3 (a) The set {V₁, V2, V3} is linearly independent. (b) The set {V₁, V2, V3} is linearly dependent. 360 37 3 1 2 1 362 = 600 0130 0010 0 00 0 X1 X2 X3 686 has only one solution. 0, then at least one of x1, x2, or x3 are non-zero.
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