When does a linear system have a unique solution?

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.

math.la.e.linsys.3x3.soln.row_reduce.o

math.la.d.mat.rref

math.la.t.linsys.zoi

math.la.d.linsys.consistent

Created On: February 15th, 2017; 7 years ago
Views: 3
Type: Video
Timeframe: Review
Perspective: Example
Language: English
Content Type: text/html; charset=utf-8

Introductory worksheet on systems of linear equations and augmented matrices Awaiting Moderation

Focus on computations skills. Convert from linear system to augmented matrix and back. Perform row operations. Solutions included. Uncomment \printanswers line before compiling to show solutions.

math.la.e.linsys.3x3.soln.row_reduce.o

math.la.d.mat.augmented

math.la.d.mat.row_op

math.la.t.mat.row_equiv.linsys

math.la.d.mat.rref

math.la.e.mat.echelon.of

math.la.e.linsys.3x3.soln.row_reduce.i

License: CC-BY-NC-SA-4.0
Created On: August 7th, 2018; 6 years ago
Views: 2
Type: Handout
Timeframe: In-class
Perspective: Example
Language: English
Content Type: text/html; charset=utf-8

Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix, in the case of one solution

Introductory worksheet on systems of linear equations and augmented matrices Awaiting Moderation