Intro to homogeneous systems, trivial and non-trivial solutions

Intro to homogeneous systems, trivial and non-trivial solutions

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Intro to homogeneous systems, trivial and non-trivial solutions

16:29

About this lesson

Solution Set of Linear Systems Overview:
Homogeneous Systems
• \( Ax=0\)
• Trivial, non-Trivial, and general solutions

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Video 1 of 11

Intro to homogeneous systems, trivial and non-trivial solutions

16 min

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Parametric vector form for homogeneous system solutions

4 min

Non-homogeneous linear systems and parametric vector form

6 min

Parametric vector form for non-homogeneous systems

2 min

Geometric meaning of vector p in non-homogeneous systems

3 min

Solving a homogeneous system and writing in parametric vector form

10 min

Solving Ax=0 for a 2x3 matrix in parametric vector form

12 min

Solving a non-homogeneous system in parametric vector form

14 min

Comparing solution sets of two linear equations using parametric vector form

13 min

Comparing solution sets of homogeneous and nonhomogeneous equations

10 min

Finding the parametric equation of a line through a point parallel to a vector

7 min