dent and spans R B = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} 1 1 1 1 0 0 0 1 0 0 0 1 The matrix 1 1 0 ---Select--- v to which shows that the equation c;(1, 1, 1) + c2(1, 1, 0) + c3(1, 0, 0) = (0, 0, 0) has 1 0 0. v. So, the three vectors are linearly independent. Furthermore, the vectors span R3 because the coefficient matrix of the linear system --Select--- 1 1 1 1 1 0 1 0 0 C1 C2 = u2 is ---Select--- C3
dent and spans R B = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} 1 1 1 1 0 0 0 1 0 0 0 1 The matrix 1 1 0 ---Select--- v to which shows that the equation c;(1, 1, 1) + c2(1, 1, 0) + c3(1, 0, 0) = (0, 0, 0) has 1 0 0. v. So, the three vectors are linearly independent. Furthermore, the vectors span R3 because the coefficient matrix of the linear system --Select--- 1 1 1 1 1 0 1 0 0 C1 C2 = u2 is ---Select--- C3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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