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Algebra ->  Matrices-and-determiminant -> SOLUTION: <img src="https://screenshotscdn.firefoxusercontent.com/images/c8650415-4a19-4ddb-a4ff-1a64af058d70.png">       Log On


   

Question 1138046:
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Add the second and the highlight%28cross%28first%29%29 third equations.


You will get an equation identical to the first one.


It means that the determinant of the coefficient matrix is equal to 0 (zero, ZERO).


In this case the Cramer's Rule (method) does not work and is not applicable.


The coefficient matrix is degenerated and the system has INFINITELY MANY solutions.


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(for tutor @ilkeyn)

In your first line, you mean add the second and THIRD equations....