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Definition and Examples of CHANGE of BASIS | FREE Linear Algebra Course
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In this video, we construct the change of basis matrix. We show how it can be used to change vector representations in one basis to vector representations in another basis.
This video is part of a linear algebra course
Students often ask is linear algebra important and is linear algebra hard. They wonder can anyone learn linear algebra and why some can't understand linear algebra. It is important to show to the students how linear algebra is used in data science, machine learning, AI, computer science, image processing, computer graphics, and in real life in general. This is a free video course in linear algebra for everyone, even beginners. It covers linear algebra with applications.
CHAPTERS:
0:00 Intro and learning outcomes
0:28 Change-of-basis matrix
1:54 Change of basis for vector representations
2:42 Inverse of change-of-basis matrix
4:07 How to compute change of basis matrix: example
8:34 Application of change of basis matrix
11:04 Now what?
#mathflipped
This video is part of a linear algebra course
Students often ask is linear algebra important and is linear algebra hard. They wonder can anyone learn linear algebra and why some can't understand linear algebra. It is important to show to the students how linear algebra is used in data science, machine learning, AI, computer science, image processing, computer graphics, and in real life in general. This is a free video course in linear algebra for everyone, even beginners. It covers linear algebra with applications.
CHAPTERS:
0:00 Intro and learning outcomes
0:28 Change-of-basis matrix
1:54 Change of basis for vector representations
2:42 Inverse of change-of-basis matrix
4:07 How to compute change of basis matrix: example
8:34 Application of change of basis matrix
11:04 Now what?
#mathflipped