Algebra Help?

Posted on 2015-09-18 06:46:00 in Math by SMITH

1. Propose an example of a REF of the augmented matrix of a system of 4 equations in 4 variables that
a) has a unique solution
b) has infinitely many solutions
c) is inconsistent

2. True of false
a) a linear system is inconsistent if the number of its equations exceeds the number of the variables
b) if the rank of the coefficient matrix of a system is equal to 5 then the rank of the augmented matrix cannot be equal to 7
c) if the augmented matrix of a system in 6 variables has 4 pivot columns then the system has infinitely many solutions

3. For each other the following equations determine whether it is linear in its variable or not, explain your decision
a) 5x-(cos3)y+z=4
b) x1^3+3x2=-9
c) 3x1+sqaureroot x2-x3=0

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