For what value(s) of b is the following set of vectors linearly independent? {}
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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Question
Do not use determinants or rank nullity theorem, only use the sections from below to solve.
Solve using only these concepts and topics
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
1.3
1.4 The Matrix Equation Ax = b
1.5 Solution Sets of Linear Systems
1.6 Application of Linear Systems
Don't use determinants only use from the topics above to solve problem
Expert Solution
Step 1
Note:
(i)The rank of the matrix in the row echelon form is equal to the number of all non-zero rows.
(ii) The rank of a matrix is the maximum number of its linearly independent row vectors (or column vectors).
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