True or False? 1) a consistent system of linear equations can have an infinite number of solutions 2) a system of linear equations with fewer equations than variables always has at least one solution 3) if an n x n matric A is not symmetric, then ATA is not

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 67E
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True or False?

1) a consistent system of linear equations can have an infinite number of solutions

2) a system of linear equations with fewer equations than variables always has at least one solution

3) if an n x n matric A is not symmetric, then ATA is not symmetric

4) if a square matrix B is obtained from A by interchanging two rows, then det(B) = det(A)

5) the set of points on the line represented by x + y = 0 is a subspace of R2

 

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