Linear Algebra 4.8 Applications of Vector Spaces

Applications of vector spaces including linear homogeneous differential equations and rotation of axes of conic sections.

Video Chapters:
0:00 Introduction
0:09 Linear Homogeneous Differential Equations
1:50 Check Solutions for Differential Equations
5:25 The Wronskian
7:28 Check for Linear Independence
9:46 Solutions to Differential Equations
12:20 Practice - Check solutions
15:22 Practice - Linear Independence
17:35 Practice - General Solution
18:14 Review of Conics
22:46 Identifying Conic Sections
30:08 Change of Basis
32:30 Rotation of Axes
33:57 Rotation of Axes Practice - Find Theta
34:53 Rotation of Axes Practice - Evaluate sin x and cos x
35:10 Rotation of Axes Practice - Write x and y using sin x and cos x
35:42 Rotation of Axes Practice - Simplify
39:11 Rotation of Axes Practice - Determine the Conic Section
39:48 Up Next

Extra Help:
Differential Equations    • Calculus II - 6.4.1 First Order Linear Dif...  
Conic Sections    • Calculus II - 10.1.1 An Introduction to Co...  
Completing the Square    • College Algebra 1.4.4 Solve Quadratics: Co...  
Unit Circle    • Precalculus 4.2 Trigonometric Functions: T...  

Textbook: Elementary Linear Algebra 8e, Ron Larson

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