math.la.d.linsys.homog.trivial

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.

- Created On
- August 22nd, 2017
- 5 years ago
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- 3
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8

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
- 5 years ago
- Views
- 4
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8

In this section we specialize to systems of linear equations where every equation has a zero as its constant term. Along the way, we will begin to express more and more ideas in the language of matrices and begin a move away from writing out whole systems of equations. The ideas initiated in this section will carry through the remainder of the course.

- License
- GFDL-1.2
- Submitted At
- September 11th, 2017
- 5 years ago
- Views
- 2
- Type
- Language
- English
- Content Type
- text/html