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.
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
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.
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"
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?
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.
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
One of the few videos on youtube that actually explains these concepts. Thank you
I'm so over my textbook. RUclips videos have taught me more. Thanks!
This is the only video which explains it. Thanks I was able to complete 2 more of my homework problems
I am glad I could help. Thank you for taking the time to leave a comment. I appreciate it!
Thank you! You made basic and free variables so much easy to understand the meaning of.
Simple and easily understandable! Thank you.
Man you are the best, so good and calm at explaining. bless you
Seriously, really a awesome video.
And it has been the easier for your examples.
Thank you so much🙂🖤🖤🖤
Excellently explained. Thank you so much. I was just looking for some some help in this respect, and you extended this help. ❤
Respect from Pakistan 🇵🇰
Perfectly explained, thank you!
Thank you for your comment!
best explanation of this linear algebra concept. keep going...
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.
Appreciate it, man. Somehow you make this stuff sound so simple.
If i knew you i would love to meet such type of Mathematics Teacher 🥺❤️
Good Examples and Explanation. God Bless you. Good Job DONE.
Thank you sooooooooo so much
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 so much for helping me understand!
Happy to help!
Very good video. Helped a lot!
Great explanation. Thanks!!
I just liked this video, something that I usually don't do.
Thanks man! Easy to understand.
Very helpful Thank you so much.
You've done a great job with this video!!!!!!!!!!!!!!!!!!!!
thank you from California ahahha you saved a headache
Excellent!!
great job!
Thankyou for your explanation. Great thanks from india.
This video make me understand this concept ,Thank you
Thankyouuu !
This really helped : )
There's a lot of exmples that don't have rows of zero at the bottom, are they still in reduced echelon form?
great work dude . keep it up
amazing !!!! Thank you so much
Wow this helped so much!!
Brilliant. Thank you SO much.
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.
good one
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"
free variables k lye..echlon and reduce echlon dono krny hoty?
can someone explain what is the meaning of the last quote? i couldn't quite understand that.
Helpful
In the example around 3:57, since there are 4 columns-3 rows=1, wouldn't the last column be a free column?
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
wow this is amazing! thank you a lot!
Great Vid!
Great lesson!
i literally started this video with no knowledge of this and now suddenly this makes sense
Is there a Linear Algebra section to this channel? Cuz this was sups helpful
Very helpful!!!
if q>p, then there are q-p free variables. so why are there 2 free variables in the last example?
Thanks good explaination!!
thank you boss
Thankyou
Just what you need to know. No bs
Thank you ! It's really help me a lot.~~
bless you math is killing me rn but this was helpful
Thanx
How do we express the basic variables in terms of the free variables, i.e. get a parametrisation for the solution space?
Appreciated!
🔥🔥🔥❤
hlo Sir, kya leading point k lye 1 lzami hai???col 5 ko piviot col q nhi rkha?
I think in echelon for don't need to be leading entry are 1
It does depend on the text or source.
@@Mathispower4u ok❤️❤️
Thank you so much
If the pivot is 1, wouldn't it be called the reduced [row] echelon form?
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
Thanks dear sir
thank you!
That quote from Hayley tho
Thank you.
The rule for determining free variables doesn't make sense. A 3x3 matrix can still have a free variable.
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?
There are only 3 equations not 4 ( since last row is all zeros)
Hence 5-3=2 free variables
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.
I found much clearer than my teacher my God
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
Oh, I see your point now.
bro i am so stupid???
If so, then your not the only one. LoL the answers don't line up with the concept.
Don't keep subtitles I didn't see anything