One of the few videos on youtube that actually explains these concepts. Thank you

I'm so over my textbook. KZread videos have taught me more. Thanks!

Thank you! You made basic and free variables so much easy to understand the meaning of.

This is the only video which explains it. Thanks I was able to complete 2 more of my homework problems

@Mathispower4u

10 ай бұрын

I am glad I could help. Thank you for taking the time to leave a comment. I appreciate it!

Man you are the best, so good and calm at explaining. bless you

Excellently explained. Thank you so much. I was just looking for some some help in this respect, and you extended this help. ❤

Seriously, really a awesome video. And it has been the easier for your examples. Thank you so much🙂🖤🖤🖤

Simple and easily understandable! Thank you.

Appreciate it, man. Somehow you make this stuff sound so simple.

Great explanation. Thanks!!

Thanks man! Easy to understand.

Basically if we can't solve for a certain variable, then we assume there is an infinite number of solutions to that variable. We can then substitute a generic dummy variable instead.

best explanation of this linear algebra concept. keep going...

Very good video. Helped a lot!

Respect from Pakistan 🇵🇰

Excellent!!

Very helpful Thank you so much.

Perfectly explained, thank you!

@Mathispower4u

7 ай бұрын

Thank you for your comment!

great job!

If i knew you i would love to meet such type of Mathematics Teacher 🥺❤️

amazing !!!! Thank you so much

I just liked this video, something that I usually don't do.

Brilliant. Thank you SO much.

Wow this helped so much!!

Thankyouuu ! This really helped : )

Thank you so much for helping me understand!

@Mathispower4u

Жыл бұрын

Happy to help!

i dont know what word to use to thank you!!!! there is no word!!!! my mine was getting f***ed... before i seached for this video thank you man...it was PERFECT

Thank you sooooooooo so much

thank you from California ahahha you saved a headache

You've done a great job with this video!!!!!!!!!!!!!!!!!!!!

8:42 actually the quote is from the book "Bet On Yourself: Life lessons to cultivate and create your own success" by Nicole Williams main quite is : "Sometimes it takes a good fall to really know the foundation on which you stand"

can someone explain what is the meaning of the last quote? i couldn't quite understand that.

Good Examples and Explanation. God Bless you. Good Job DONE.

The beginning of the video is supposed to show the reduced echelon form, the echelon form doesn't require the leading entries to be 1, they can be any non-zero value.

thank you boss

good one

How do we express the basic variables in terms of the free variables, i.e. get a parametrisation for the solution space?

There's a lot of exmples that don't have rows of zero at the bottom, are they still in reduced echelon form?

This video make me understand this concept ,Thank you

Helpful

Is there a Linear Algebra section to this channel? Cuz this was sups helpful

Thankyou

free variables k lye..echlon and reduce echlon dono krny hoty?

Great lesson!

wow this is amazing! thank you a lot!

In the example around 3:57, since there are 4 columns-3 rows=1, wouldn't the last column be a free column?

@yasminfarzan6371

5 жыл бұрын

The matrix is in an augmented form. The last column is the solution of the equations , therefore doesn't have any variables corresponding to it

i literally started this video with no knowledge of this and now suddenly this makes sense

Great Vid!

great work dude . keep it up

Thanx

Thankyou for your explanation. Great thanks from india.

That quote from Hayley tho

Just what you need to know. No bs

if q>p, then there are q-p free variables. so why are there 2 free variables in the last example?

🔥🔥🔥❤

Thank you.

Thanks good explaination!!

thank you!

Thank you so much

Very helpful!!!

hlo Sir, kya leading point k lye 1 lzami hai???col 5 ko piviot col q nhi rkha?

bless you math is killing me rn but this was helpful

Appreciated!

Thank you ! It's really help me a lot.~~

Thanks dear sir

If the pivot is 1, wouldn't it be called the reduced [row] echelon form?

@iRobotsGamer

3 жыл бұрын

It's reduced row echelon form if the pivot is a 1 and is the only non-zero entry in the column. So 0s all above and below the pivot

I found much clearer than my teacher my God

I'm confused about the last example matrix. On the slides, it says if p (num of equation) is smaller than the q (num of unknowns), we would have q-p free variables. Last example, we have p=4, q=5, but 2 free variables. What happened?

@ajeesha9467

3 жыл бұрын

There are only 3 equations not 4 ( since last row is all zeros) Hence 5-3=2 free variables

@amberjha5974

2 жыл бұрын

the 4th system is just zeroes, we can safely discard it. When we say q-p rule, we mean that that each equation has the leading column with a non-zero value.

The rule for determining free variables doesn't make sense. A 3x3 matrix can still have a free variable.

For the Basic and Free Variables slide with "Consider a system of equations written as a matrix in row echelon form". You have your matrix in reduced *row* echelon form not row echelon form. Shit had me doubting my elementary row operations for a second

@Mathispower4u

2 жыл бұрын

Oh, I see your point now.

Don't keep subtitles I didn't see anything

bro i am so stupid???

@Mr.Mustgohard

25 күн бұрын

If so, then your not the only one. LoL the answers don't line up with the concept.