Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier! ruclips.net/channel/UCyEKvaxi8mt9FMc62MHcliwjoin Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
Really neat way of explanation here. Thanks ! A question about the free variables: does this mean that I can plug in any value for x2 and x4 for the first example and I can solve the original matrix?
Gaussian Elimination? More like "Great videos and information!" 👍 Also, did you hear about the chiropractor that switched clients out using Gaussian Elimination? There was a lot of "back substitution" 😆
I've never had it in school and learning on my own, so please excuse my ignorance. Why is it essential to have all-zeros rows at the bottom of the matrix?
most people will do it automatically and not even take a minute to question why, so good job for asking! From my understanding it's so you immediately get an answer for a variable. i.e., in a 3x3 matrix you instantly get z=6 if the other two variables are 0. And you move upwards to get all of the answers by substitution.
I think it's mostly just a convention, and if you're ever unsure about why or how matrices can be used to solve systems of equations, just remember that they are a shorthand. Basically you're just writing down the coefficients and not the variables to save a bit of writing.
Hi @Wrath of Math At 05:06, the 3rd row got transformed from [ 0 0 5 0 -17 -29 ] to [ 0 0 0 0 1/2 1]. if we did R3 + R1 to make the -5 to 0, then it would ne [ 0 0 0 3 -13 -15 ] Am I missing something?
When you say x2, x3, x4, x5, ...etc. the numbers themselves are just for organizational purposes, correct? It seems like you are just using the notation to keep track of the various manipulations. Are these technically subscripts of x?
Excellent video but I have one question: shouldn’t the columns containing a leading 1 have 0s everywhere else? In the first example in columns n3 and n5 there are leading zeros but in those columns there are also other numbers different from zero.
In 4 ×4 matrix with this method sometimes you get the right arrangement of row zero but the values of 4 variables will be different who know the right arrangement of the rows operation plz
I am trying to focus on the examples, but your baby face and light blue eyes are really distracting. HAHhahahahha ahh...... Help me... I have an exam tomorrow
Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!
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I been trying to plug n chug with a sprinkle of brute force into REF this gave me a clear path in less than 5 minutes. You are a godsend
So glad it helped, thanks for watching!
Damn, I wish I found this video 12 hours ago. Been stuck on this the whole day, and this video made is so simply. Thanks!
You just saved me, I have exam tomorrow and I now fully understand the topic❤
Glad to help, thanks for watching and good luck on the exam!
BRO SAMEEEEE THANKS A BUNCH!!!!
How'd your exam go?
@@hrudhaianand3886 How'd you do on your test?
your way of explaining is awesome
Thank you!
Excellent work. Thank you so much!
awesome video can solve now
Glad I could help!
Great video
Thank you!
thanks for clear explanation
Really neat way of explanation here. Thanks ! A question about the free variables: does this mean that I can plug in any value for x2 and x4 for the first example and I can solve the original matrix?
Thanks, great video. Very helpful. :)
Thank you!
amazing video very well explained
Thank you!
love from south africa
Gaussian Elimination? More like "Great videos and information!" 👍
Also, did you hear about the chiropractor that switched clients out using Gaussian Elimination? There was a lot of "back substitution" 😆
thank you!!
You're welcome - thanks for watching!
I've never had it in school and learning on my own, so please excuse my ignorance. Why is it essential to have all-zeros rows at the bottom of the matrix?
most people will do it automatically and not even take a minute to question why, so good job for asking! From my understanding it's so you immediately get an answer for a variable. i.e., in a 3x3 matrix you instantly get z=6 if the other two variables are 0. And you move upwards to get all of the answers by substitution.
I think it's mostly just a convention, and if you're ever unsure about why or how matrices can be used to solve systems of equations, just remember that they are a shorthand. Basically you're just writing down the coefficients and not the variables to save a bit of writing.
Hi @Wrath of Math
At 05:06, the 3rd row got transformed from [ 0 0 5 0 -17 -29 ] to [ 0 0 0 0 1/2 1].
if we did R3 + R1 to make the -5 to 0, then it would ne [ 0 0 0 3 -13 -15 ]
Am I missing something?
When you say x2, x3, x4, x5, ...etc. the numbers themselves are just for organizational purposes, correct? It seems like you are just using the notation to keep track of the various manipulations. Are these technically subscripts of x?
Yes those are all subscripts for x, they are just distinct variables in the system.
nice work.....
Thanks!
Aye yo firsttttttttttt!!!!! Hand me my 🏅 nowwwww !!!!!!
Here you go champ🏅 When the mob of people studying linear algebra discover this video, they will salute you!
@@WrathofMath Is there a silver medal
take my salute , just discovered this osm channel
Are yall doing all this in alevels?
Excellent video but I have one question: shouldn’t the columns containing a leading 1 have 0s everywhere else? In the first example in columns n3 and n5 there are leading zeros but in those columns there are also other numbers different from zero.
I know it's a bit late, but if I'm not mistaken that is gauss Jordan. This is gaussian
That rule applies to row reduced echelon form. These matrices are in reduced echelon form.
What if the first number is 3 ??
In 4 ×4 matrix with this method sometimes you get the right arrangement of row zero but the values of 4 variables will be different who know the right arrangement of the rows operation plz
its funny how everyone who does linear algebra uses this textbook,nno matter where you are from
Which textbook is he using?
@@eliassheikh738 He says the name of the text at 1:05. It's Elementary Linear Algebra by Howard Anton.
I am trying to focus on the examples, but your baby face and light blue eyes are really distracting. HAHhahahahha ahh......
Help me... I have an exam tomorrow
🔵 🔵