Linear Algebra - 22 - Rank

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What is the rank of a matrix? How do we find Rank(A)? How does this relate to column space and row space?
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I have my final tmrw. Thank you so much for your videos. They always are crystal clear:) I'm done with the class but keep posting more linear algebra stuff for future students

intellagent
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yoooo, you're the real MVP. Thank you for clearly explaining what I've been trying to describe in my head while reading this section 4.6 lol

josephmarcelo
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At 2:34, why do subtract 2/3 and how did you come up with 2/3?

Edit: Nevermind, I figured it out. It's because you want the number under 3 to be 0. To get 0, you need to do: Row 2 - 2/3(Row 1) = 2 - 2/3(3) = 0.

MikeTheGreatCC
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Still a bit confused as to how you got the ⅔ and ⅓ that you used to multiply row1 and subtract from rows 2 and 3 respectively. Also the 4/7 you used in the second step, or are those numbers used by default?

davidosoba
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I thought the pivots have to be 1's in REF

lange