SOLUTION: the following matrix is a reduced augmented matrix obtained from a system of equations. The system has ____ solutions? 1 0 3 -5 |7 0 1 -2 0 |4 0 0 0 0 |0 0 0 0 0 |0

Question 84469This 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 3 -5 |7
0 1 -2 0 |4
0 0 0 0 |0
0 0 0 0 |0

A. One
B. Two
C. Infinite
D. No
This question is from textbook finite mathmatics

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
the following matrix is a reduced augmented matrix obtained from a system of equations. The system has ____ solutions?

1 0 3 -5 |7
0 1 -2 0 |4
0 0 0 0 |0
0 0 0 0 |0
THE RANK OF COEFFICIENT MATRIX=2 < 4 THE ORDER....SO IT HAS EITHER ZERO
OR INFINITE SOLUTIONS.
RANK OF AUGMENTED MATRIX = 2 = RANK OF COEFFICIENT MATRIX
HENCE THE SYSTEM IS CONSISTENT.
HENCE IT HAS INFINITE SOLUTIONS
A. One
B. Two
C. Infinite
D. No

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