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
- 7 years ago
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- 3
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- Video
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- English
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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
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- 4
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- Video
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- English
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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.
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- GFDL-1.2
- Submitted At
- September 11th, 2017
- 7 years ago
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- 2
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- Textbook
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- English
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- text/html