Three vectors V1, V2, and V3 are given. If they are linearly independent, show this; otherwise, find a nontrivial linear combination of them that is equal to the zero vector. 1 V1 = 3 3 3 V2 = -5 , V3 = -7 12 14 ... Select the correct answer below, and fill in the answer box(es) to complete your choice. ○ A. The vectors V1, V2, and V3 are linearly dependent, because 3v₁ + ( ) 2 + ( ) V3 = 0. (Type integers or fractions.) B. The vectors V1, V2, and V3 are linearly independent. The augmented matrix [V1 V2 V30] has an echelon form E = solution. which has only the trivial (Type an integer or simplified fraction for each matrix element.)
Three vectors V1, V2, and V3 are given. If they are linearly independent, show this; otherwise, find a nontrivial linear combination of them that is equal to the zero vector. 1 V1 = 3 3 3 V2 = -5 , V3 = -7 12 14 ... Select the correct answer below, and fill in the answer box(es) to complete your choice. ○ A. The vectors V1, V2, and V3 are linearly dependent, because 3v₁ + ( ) 2 + ( ) V3 = 0. (Type integers or fractions.) B. The vectors V1, V2, and V3 are linearly independent. The augmented matrix [V1 V2 V30] has an echelon form E = solution. which has only the trivial (Type an integer or simplified fraction for each matrix element.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 16E
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