SOLUTION: I just want this answer explained to me. The question ask me to use the rref function in my calculator and the answer I received was as follows. 1 0 -.33 0 0 1 -2.33 0 0 0 0

Algebra ->  Matrices-and-determiminant -> SOLUTION: I just want this answer explained to me. The question ask me to use the rref function in my calculator and the answer I received was as follows. 1 0 -.33 0 0 1 -2.33 0 0 0 0       Log On


   



Question 454542: I just want this answer explained to me. The question ask me to use the rref function in my calculator and the answer I received was as follows.
1 0 -.33 0
0 1 -2.33 0
0 0 0 1
How do I know if this equation has any solutions or no solutions and simply could you tell me if I did the problem correct. The problem goes as follows
2x+y-3=1
x-y+2z=1
5x-2y+3z=6

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


What you have is a partial row reduction of the matrix that was developed from your 3X3 system. The calculator stopped where it did because of the result obtained in the last line which suggests the absurd notion that 0 is equal to 1. Having obtained such a result, the calculator realized that the system has no solution.

John

My calculator said it, I believe it, that settles it
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