How to Easily Find the Basis of the Span of Vectors - Linear Algebra

[@ReaganMerkel]

Thanks! You do just a great job of explaining this!

[@phildecroos]

my chance of passing math 115 = this channel

[@jEazy345]

bruh did you pass? taking it rn and it's really rough lol

[@phildecroos]

@@jEazy345 somehow yeah lol

[@BadConejito]

great explanation thanks!

[@davy6255]

Thank you!

[@infeksiketawa]

THANK YOU SO MUCH

[@edwardho3501]

Yessss

[@buirabxs]

Why all of you guys placing vectors in matrix column by column you just do smth strange not RREF I mean you placed x x x y y y z z z Instead of x y z x y z x y z when you RREF second one you substract and adding some vectors to find depended once But actually thing that you did here seems to me wrong because you adding and substracting whole xs or whole ys or whole zs of different vectors WTF math always worked by logic,am i wrong or your solution is wrong,can someone explain

[@megan31415]

For the problem in the video it doesn't matter as you get the same thing either way, but I think your way is correct.

[@ivangoncharuk607]

I think its because when writing vectors out horizontally: (x,y,z) and stacking them, youd have to mentally flip them vertically again when setting up your matrix for the rref calculation. If you were to write the matrix as is if you stacked the horizontally written vectors into a matrix form, youd have to take the transpose, which swaps the rows into columns before finding the rref. So it doesnt matter how you write them as long as you conceptually understand how to read the matrix and set it up, writing it virtually first makes it easier to set up.