Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix, in the case of no solutions

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


A 3x3 matrix equation Ax=b is solved for two different values of b. In one case there is no solution, and in another there are infinitely many solutions. These examples illustrate a theorem about linear combinations of the columns of the matrix A.

Created On
February 15th, 2017
4 years ago
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3
Type
 Video
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 Pre-class
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 English
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The reduced row echelon form is used to determine when a 3x3 system is inconsistent. A picture of planes in 3-dimensional space is used to provide geometric intuition.

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