Linear Algebra: Change of Basis Matrix

Using a change of basis matrix to get us from one coordinate system to another.

Category:

Education

Tags:

• change
• of
• basis
• matrix
• coordinate
• system

[Challsoer]

Thank you so much for your videos! I'm a physics student and you have helped me understand so many principles of mathematics that I haven't been able to understand in lectures or textbooks! Thank you so very much!!

[yynotx]

wow-- a space change matrix elegantly presented--great job

[AbyssGuitars]

You should come to carleton and teach the economics course load...just all the courses...this is better explained than almost any of my profs can manage. Great videos!

[dharma6662000]

It looks like there's a small mistake. Between 1:30 and 02:40 you write that C = [v_i][c_j] = a. You write that your n-by-k matrix C is equal to the matrix whose columns are the v_i, multiplied by the colomn vector whose entries are the c_j. In other words, the n-by-k matrix C is equal to the n-by-1 vector a.

[AntoMelta]

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[willamricard]

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[bundawartini]

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[ImAllDatRemains]

Very helpful but just a tip: I find it helps to write what row operations you are using beside the matrix before I move on. This would also make it a bit clearer, but overall great stuff thanks for the help!

[ImAllDatRemains]

Very talented 3D drawing (Y)

[max137vzx]

I have learned more from you in the past 2 hours than I have from my professor in the last 2 months. You are awesome. Thank you so much!