Linear Algebra Example Problems - Spanning Vectors #1

In this problem we work with the vectors v1 and v2 and determine if the set {v1, v2} spans R2.

If the set of vectors {v1,v2} spans R2, then ANY vector from R2 can be written as a linear combination of these vectors. To see if this is true, an arbitrary vector from R2 is selected an and an augmented matrix is constructed and solved.

[ducksoop.x]

Been staring at my textbook for an hour and this video finally got it through my head. Thanks.

[catarina]

Oh! very well explained. At last, I was able to get the problem and was able to solve it. Thank you so much! More videos to come.

[hectorramirez]

Wow.
Always had trouble fully understanding this concept until watching this video, I always wondered what it meant and not until I watched this video did I fully grasp the concept. Very well explained. Thank you!

[parassharma]

You are a legend for putting so much effort & time into making all these videos. The best thing about you is the format & presentation, whatever tool you are using it's great. It's so clear, precise and you explain so good. THANKS AGAIN SIR!

[mtb]

This video is fantastic, I also love the fact that we don't have to sit around waiting for you to write things, I hate that in other math videos.

[ashutoshkumarjha]

Simple and glittering way of explaining.

[jan-willemreens]

...This video makes me happy, Adam. Using a not too difficult example, Spanning vectors are clearly explained! Thank you, Jan-W

[homayounyaqobi]

Thanks for the useful examples. You made a lot of efforts for these examples. You are a great man.

[Clairesuismoimaispas]

Thank you Prof Panagos! This Linear Algebra series is great!! Really helpful! Would you please do more Advanced Algebra videos? I am a Math major student and I got to say watching your videos is so much fun!

[rajp]

Very well explained, sir😊
Pretty easy to understand!

[RAVIPrakash-oqed]

Best video on spanning ..thank you so much for this!

[parasbansal]

this video is really helpful, just before my exams - thank you

[Becarefulthismath.]

Hello
The video is very beautiful
And one question please
Why do you this E2=_1/3E2
But you can do this
E2=3E1+E2
And continue the solution

[kenethoboyi]

It is clearly explained and I was able to understand span of a vector

[dvilscry]

At 2:50, you said x1 = a times a-b over 3. Did you mean minus?

[nandanaab]

Thank you sir for making my concepts perfect

[DavidMOUSSONGA]

for two vectors to span a space they should be linearly independent, isn't it sir?

[sinethembasithole]

Hi
Can I ask, how did you compute your a and b

[alessandrolagi]

Thank you so much i was impanicato ma mo tutto meglio daie