[Linear Algebra] Matrix Transposes and Properties

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We discuss matrix transposes and their properties.

#LinearAlgebra #Algebra #UniversityMath #Lecture

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In this video we look at matrix multiplication and discuss some of the properties.

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you have an amazing way to explain math very good

salmamontaser
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That’s…the whole thing? How can my professor not explain that? Thank you!

worldsmostaveragemagician
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Thank you, your videos help me a lot! :)

Galenus
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3:01 Quick question on this part. You say it's bad to have pxn, is this assuming that 1) the matrices are non-square and 2) the mxn and nxp had n = n? Wouldn't there still be cases where this could be okay? Like.. mxn = 3x2 and nxp = 2x3, where if they were transposed they would still be able to be multiplied, right? Or am I missing something here. EDIT -- More importantly, I guess what I'm trying to figure out is, why do we ever want/need to transpose if the requirement for being able to transpose is that we can multiply the two matrices prior to transposing? I think that's my biggest disconnect.

lauramaass