How to determine if one vector is in the span of other vectors?

Learning Objectives: Given a vector, determine if that vector is in the span of a list of other vectors.

This video is part of a Linear Algebra course taught at the University of Cincinnati.

[XTSK]

You have the right approach to teaching Lin Alg by conceptual and intuitive angles.I like your presentations...I have watched a lot of other videos of others..including Khan and Gilbert Strang (who is also quite good in many chapters of Lin Alg ). I feel your presentation is even better and optimal in time.Thanks.

[johnwick]

You are single handedly carrying me through university. Thank you so much. I asked my professor this question and while I'm sure the man is 100% correct he took me for a 45 minute joy ride at the blackboard and lost me completely.

[hiddenguy]

BEST LINEAR ALGEBRA PLAYLIST ON THE INTERNET 🔥🔥

[Ludicrous-Dawg]

Hi man, great way of explaining. Only thing I think would be nice to mention is when the vector isn't in span of other vectors :)

[morganwhite]

OMG thank you so much, my teacher, explains everything so badly and makes it so confusing but ur vids are making it super easy and straightforward. Absolute Legend!!!

[d-rex]

I love linear algebra, but every semester, I have to refresh -> these vids really help.

Good video only comment is at the last part the vector (2, -1, 12) should be (2, -1, -12) :), idk why i am commenting on a 2017 video ><

[torvasdh]

Omg thank you. This is so simple and straight to the point

[NightmareYou]

These videos have been great, I'm trying to learn some of this before the semester after not doing as well as I hoped in Calc 3. Thanks so much.

[hannanibrahim]

Thank you so much for everything that you do! Best linear algebra course ever, I even tried the Gilbert Strang course but I like this one way more

[swagatochatterjee]

Hi Trefor, what about the case when we have non-unique solutions? What is the status of the membership in span then?

[NikoFool]

this is way more usefull than my prof's teaching

[bethcoty]

Hi, how did you get the values of 1, 11 and 30?

[williamstruve]

Yooo, I went through your entire Discreet Math course last semester. Imagine my surprise when I saw you on the thumbnail of a linear algebra vid haha

[steel]

Wow, this helped me so much! Thank you

[icee]

What a damn good explanation sir. Thanks!

[mdfarzi]

quick question, how do you derive the value of x3, then x2, then x1? i like your explaination but im trying to find the pattern particularly on that

[the_eternal_student]

How did Gaussian elimination give you the values for x's? I folllowed the elimination, but not where the x's came from.

I have watched this video about 10 times and I still have not heard you explain where the final x1 x2 and x3 come from, and I came to this video because I was having the same problem with a book that I was reading.

[saalihon]

you simplified so nicely big thanks bro

[norman]

Nice video, really helpful because my prof doesn't speak english