# A homogeneous system has a nontrivial solution if and only if it has a free variable.

math.la.t.linsys.homog.nontrivial

# Finding all solutions of systems of linear equations

How to compute all solutions to a general system \$Ax=b\$ of linear equations and connection to the corresponding homogeneous system \$Ax=0\$. Visualization of the geometry of solution sets. Consistent systems and their solution using row reduction.

##### math.la.d.linsys.homog.nontrivial
Created On
August 22nd, 2017
3 years ago
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2
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Video
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English
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# Solving homogeneous systems of equations

Homogeneous systems of linear equations; trivial versus nontrivial solutions of homogeneous systems; how to find nontrivial solutions; how to know from the reduced row-echelon form of a matrix whether the corresponding homogeneous system has nontrivial solutions.

##### math.la.e.linsys.3x3.soln.homog.row_reduce.i
Created On
August 25th, 2017
3 years ago
Views
3
Type
Video
Language
English
Content Type
text/html; charset=utf-8