Linear Algebra Example: Span Questions

In this video, I explain some sample problems from Lecture 8 and Lecture 9.

[elaine_chesoni]

This is amazing! Thank you so much for this video. I really appreciate how you emphasized the importance of stating what you're looking for (the preamble), what you're doing (the matrix you're writing and what it represents), and what the solution means (making sure you answer the question directly).

Really really helpful. Thanks again!

[UnathiGX]

WOW!
3 years Later!

Appreciate your come back!

[afailure]

Just need a standard questions and a standard way to approach them and finally got you .
Thank You .

[angelm]

holy after so much searching this is the only playlist i need for lin alg

[yizhang]

I really appreciate your videos! You are a great great teacher! I hope you can have more videos.

[scollyer.tuition]

When I learnt linear algebra (a long time ago...) we used to write an augmented matrix with a vertical line separating the last column from the rest. This distinguishes it visually from the matrix of vectors which you use in the second type of span problem.

[portillolopezjuanmanuel]

Awesome explanation! Although my ears hurt at that YES! in min 9:41 hahaha

[lucci]

best ever span and its questions explanation. thankkk youuu so much sir! love from India! keep posting more lectures of David. c lay book. thanks

[anujbhagat]

nicely explained. do not delete this video. may come back to this vid, if if i am ever in doubt, in future. thanks!

[shoremiayomikunoluwadaunsi]

Good morning y'all. Thanks a lot sir! I have Linear Algebra exams this afternoon and this has really helped! Particular to the questions you solved and other versions in which the question may be written.

[elbaavril]

Thank you for your explanation. I had doubts about span but now I understand it. Greetings from Peru

[williamnguyen]

thank you much ... just even differentiating the 2 types of questions helps so much

[mosaif]

Sir I am from India, this vdo is too helpful for us .❤❤❤❤

[ravindrabind]

My question is related to Example-2:
"Is u4 in Span{u1, u2, u3} ?" : Is same way of asking same question?
Solution:
[[1, 0, 5/2, 0], [0, 1, -1/2, 0], [0, 0, 0, 1]] may considered as following:
x1 + 5/2*x3 = 0
x2 - 1/2*x3 = 0
0*x1 + 0*x2 + 0*x3 = 1==> 0 = 1, because System has no solution, So we may tell that System is inconsistent

[sumitbhale]

👍👍Sir explanation which clears all my doubts

[TECHNICALBEAST]

man really thank you lots of love from india

[nadirbelkebir]

Great video man ! Helped me a lot, wish me luck on my quiz !

[kgxwipl]

You are such a good❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤ teacher

[xoppa]

Very useful video.
When you say row reduce the matrix, is it sufficient to be in 'echelon form' or does it have to be in 'reduced echelon form' which is the unique reduced matrix. also books seem to vary on echelon form, some require the pivots to be scaled to 1 while others do not require it.

[araizhaisanbek]

That’s really helped to understand! Thank you