Lin Alg: Changing coordinate systems to help find a transformation matrix

Changing our coordinate system to find the transformation matrix with respect to standard coordinates

Category:

Education

Tags:

• basis
• coordinates
• transformation
• matrix

[LikvidIce]

I WILL LOVE YOU FOREVER, KHAN ACADEMY!!!!

[iambernie]

Not that it matters for the end result, since the matrix A is independent of how you choose your basis B as long as you get D right. But the new basis B is not the basis that you point it out to be in the graph. The first basis vector [2,1] of the basis B is obviously not the "horizontal" vector pointing in the direction [2,-1]. Funny enough however, you did define the transformation matrix D with respect to the basis {[2,-1],[1,2]}, which is why the rest of problem got worked out correctly.

[catdanceable]

at 8;42 that +1 should be -1 as iambernie mentioned

[santasoucio]

Thanks for doing this so much...this is a subject that has few experts you know?

[hkpopfan4lif3]

i hate my stupid textbook. Why can't it just use some set notation like you do?

They keep changing notation, confuses the hell out of me

they use x for [ V ]B....Are they serious? X?? god damn

[indrazor1]

Please!! Could you reupload this video or shorten it in 2 or 3 videos? Cause it doesn't work and I really need to understand the problem I have with finding L.T. in other basis. Thanks!!