Check something is a basis

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Checking if a set is a basis by row-reducing

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To check if a matrix is invertible, we can check if it's determinant is non-zero right?

Gamma_Digamma
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Linear Algebra Exam in a few days, ty for helping out Dr Peyam.

einzuwasu
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Thank you sir. Random thought, but I love math. The world is so political right now, and everyone thinks they have all the answers. Math is awesome because there is no politics involved. You just solve things using proven steps.

straubury
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Clear explanation with useful problem solving methods. Very good video!

krisairdancer
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Wow, I completely forgot I could use the determinante for this purpose!
Thanks for such an awesome video again, Dr. Peyam! I really love your videos and am a big fan.

Without your videos, BlackpenRedpen and 3blue1brown I would have never come this far :)
(EDIT: I just shared your video with my fellow math students/friends from university)

HDQuote
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My professor wanted us to also show its spans. 5 points off of 10. .-.

mikem
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Dear Dr. Peyam,
Please make a course of differential geometry, differential forms, Lie groups and Tensors.
That would be very nice :)
Thanks in advance.

Yours sincerely,
Tomás Molina M

Tomaplen
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I don't know why you were solving the matrix using the book... That shouldn't be the case...

satyamtiwari
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Whats the meaning of span? Saludos from Spain!!

eloyalvarez-palenciajimene
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The perfect video to watch at 2x speed

namenlos