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. DEHT- Select the correct answer below, and fill in the answer box(es) to complete your choice. A. The vectors are linearly independent. The augmented matrix [V1 V2 V30] has an echelon form E = the trivial solution. which has only (Type an integer or simplified fraction for each matrix element.) B. The vectors are linearly dependent, because 3√₁ + ( ) √2 + ( ) √3 = 0. (Type integers or fractions.)
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. DEHT- Select the correct answer below, and fill in the answer box(es) to complete your choice. A. The vectors are linearly independent. The augmented matrix [V1 V2 V30] has an echelon form E = the trivial solution. which has only (Type an integer or simplified fraction for each matrix element.) B. The vectors are linearly dependent, because 3√₁ + ( ) √2 + ( ) √3 = 0. (Type integers or fractions.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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