A 3x3 system having a unique solution is solved by putting the augmented matrix in reduced row echelon form. A picture of three intersecting planes provides geometric intuition.

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- February 15th, 2017
- 7 years ago
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##### Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix, in the case of one solution math.la.e.linsys.3x3.soln.row_reduce.o

##### Definition of matrix in reduced row echelon form math.la.d.mat.rref

##### Linear systems have zero, one, or infinitely many solutions. math.la.t.linsys.zoi

##### Definition of consistent linear system math.la.d.linsys.consistent