Posted by **Kris** on Thursday, March 28, 2013 at 11:53am.

1.) Find the values of a, b, and c that will make the statement true.

[5 a -2] [5 102]

[3 4 –b] = [-3 -4 3]

[2c 5 9] [-2 5 9]

a.) 8R1-R2--> =R2

b.) -8R1-R2 -> =R2

c.) –8R1 +R2 -> =R2

d.) 8R1-R2 -> =R2

2.) Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

-x+y+z=0

3x+2y+5z=18

15x+10y+25z=89

A.) (3,2,1)

B.) (3,2,0)

C.) Coincident dependence; {(x,y,z) |-x+y-z=0

D.) No solution, inconsistent

3.) Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

X+y-z=3

x-y-2z=6

2x-y+z=3

A.) (0,0,-4)

B.) (0,0,-3)

C.) Coincident dependence; {(x,y,z) | -x+y-z=3

D.) No solution, inconsistent

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