SOLUTION: Help Needed;
Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent.
-x - y - z = 10
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Question 201958: Help Needed;
Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent.
-x - y - z = 10
x + y + z = -6
x + y - z = 2
A) Inconsistent
B) Dependent
C) Independent
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent.
-x - y - z = 10
x + y + z = -6
x + y - z = 2
A) Inconsistent
B) Dependent
C) Independent
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they're inconsistent since -1 times the first gives x+y+z=-10, and the 2nd says it's =6.
I determined that by inspection, so it wasn't necessary to do any row operations.
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