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.
- Created On
- August 25th, 2017
- 7 years ago
- Views
- 4
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8
Definition of homogeneous linear system of equations math.la.d.linsys.homog
Definition of trivial solution to a homogeneous linear system of equations math.la.d.linsys.homog.trivial
Definition of nontrivial solution to a homogeneous linear system of equations math.la.d.linsys.homog.nontrivial
A homogeneous system has a nontrivial solution if and only if it has a free variable. math.la.t.linsys.homog.nontrivial
Example of solving a 3-by-3 homogeneous system of linear equations by row-reducing the augmented matrix, in the case of infinitely many solutions math.la.e.linsys.3x3.soln.homog.row_reduce.i
History
August 25th, 2017 7 years ago
Submitted by Petra Taylor
