SOLUTION: The following matrix is a reduced augmented matrix obtained from a system of equations. The system has ______ solutions? 1 0 0 3 6 0 1 0 5 4 0 0 0 0 -2 0 0 0 0 0 A. None

Algebra ->  Algebra  -> Matrices-and-determiminant -> SOLUTION: The following matrix is a reduced augmented matrix obtained from a system of equations. The system has ______ solutions? 1 0 0 3 6 0 1 0 5 4 0 0 0 0 -2 0 0 0 0 0 A. None      Log On

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Question 84338This question is from textbook finite mathmatics
: The following matrix is a reduced augmented matrix obtained from a system of equations. The system has ______ solutions?
1 0 0 3 6
0 1 0 5 4
0 0 0 0 -2
0 0 0 0 0

A. None
B. One
C. Two
D. infiniteThis question is from textbook finite mathmatics

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Since the second to last row of the matrix reads like this
0v%2B0w%2B0x%2B0y%2B0z=-2
which becomes
0=-2

where no matter what you choose for any variable, the equation will be false. So the system is inconsistent, which means there are no solutions.