Linear Algebra - Lecture 7 - Linear Combinations and Vector Equations

In this lecture, we discuss linear combinations and vector equations.

[ecru_]

Did in seven minutes what my prof spent an hour explaining

And I understood this faster - thank

[JigarPatel]

Love your math videos; it would be awesome if you can upload more of them with hard problems to prep for tests

[kimkakyeong]

1:19 the linear combination should be [3 6 31], no?
That aside, thank you for the video because you explain it way better than my uni lecture and textbook combined...

[jacobm]

if you understand these fundamentals, everything just becomes harder algebraically. Understand these concepts and you wont have to worry about the prep

[wjrasmussen]

shouldn't the first problem result in [3 6 31] not [2 6 31]?

[sofiastansbury]

Just to clarify,
b is a linear combination of v1 and v2 because there is a solution, and we know there is only one solution because there are no free variables in the reduced echelon form?

[tinktwiceman]

Helpful like all the videos in your L.A. playlist. All hail King James!

[chakoyotcheueliette]

thanks for the video . please can someone explain to me how the scalars are choosen pleasee

[renk.]

I just spent an entire hour trying to figure out why that was 2 instead of 3 D:
Shit happens though. Great video!

[anoshiravan]

thanks for your videos sir
it was so helpful

[chicagomike]

great series...really appreciate you taking the time to do this...now maybe one on complex variables??

[gulyatanbayeva]

thanks. your explanation was very good!

[pez]

pivotal step of the solution is omitted in the vector equations part.

[The_Lucky_Chicken]

What does it mean by "no pivot"?

[carlazacarias]

Thank you for these videos! Very helpful.

[richardben-polo]

Hi, can you show how you got the equation to be reduced row echelon form?

[mubangalillian]

hello, In the second example, how did you come up with the scalars -1, 0 and 1/2??
even the first example why 2 and 3? i did note you made an error on the first example the resulting vector should be 3, 6, 31

[Ssky]

why is it vector (2, 6, 31)? Is that supposed to be vector (3, 6, 31). Thanks

[cutcc]

This made things click, thank you ^_^