Solving a System of Linear Equations Using Inverses
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- เผยแพร่เมื่อ 27 ส.ค. 2024
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Solving a System of Linear Equations Using Inverses - Here I solve a 2 x 2 system using inverses (which I find using determinants).
For more free math videos, visit PatrickJMT.com
15 years ago and still a quality and concise video, thank you mate
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15 yrs old...still very helpful💎💎💎💎
True it really is helpfull! The fact I'm literally 15 years old rn and studying this☠️
@@kiroplayzz This video is older than us lmao
Oh thank god for this video. Literally saved me from failing and retaking a class.
I like youtube much more than my class lectures lol
Who doesn't X|
Tnx
Why?
@@asassaeed3110why
That was truly helpful. I needed help urgently, and I'm glad I found this video. Thank you so much!
You saved my life good sir. I couldn't make it to the lecture where the professor explained this a while ago and was completely lost on it and now it's coming back to me for finals!
wow, wish my prof had mentioned any of this lol, never mentioned you could calculate the inverse that easily, let alone how to solve a system of equations using the inverse. THANK YOU, this clarifies so much!!!!
OH MY GOD! I finally get this after my teacher refused to show me the steps (for the tenth time) She obviously didn't explain it in a way I could comprehend. I'm taking a midterm tomorrow, and I'm saved! THANK YOU!!! Your method is so much simpler! My teacher told me to multiply the actual inverse (A-1) times the determinant and then multiply by the solution matrix. Thank God I found this in time.
happy it helped.
hang in there! you will be fine
@lilaminakari well, it is how i make a small paycheck every month. let me know if you see an ad in the middle though! i am trying to make sure there are none of those - they annoy me too!
@xxNELLABOYZxx ok, i am uploading one in just a few minutes
yes, i did not start posting til about march of this year.... better late than never i guess!
: )
thanks! normally i have the hand writing of a first grader, but i try to make this stuff legible!!
@ripflick come back whenever you need some help : ) hopefully i can point you in the right direction
your videos helped me a lot for the preparation of my finals
@lilaminakari ha : ) i hate ads to when i watch videos, but it usually means the person who is making them is getting a little reward for all their hard work
Yeah, you use a graphic calculator like the TI-84. you hit 2nd, then you hit the X^-1 button. That allows you to input matricies. Once you've put in the matricies, then you can use the X^-1 button to find it's inverse. If it's a decimal as it often is, hit Math, then hit Frac, then hit enter
as a junior maths addict. I thank you for your lesson. Keep up the good work. I would like to see some videos for Vectors basic to advance. thanks
great job.
Thank you for making this video. This actually makes sense! I had a mental breakdown just before this.
Thanks a bunch. I am studying for a Calc III test Monday and sometimes all you need is a concrete example of a problem solved step by step. Extremely helpful.
are you still alive
@@Luvherryt😭😭😭
@PatrickJMT I've watched many of your math clips- thanks you, super helpful. My textbook is not so great. Just wanted to add, it's difficult at times when your hand is covering the math and when you speak and write extra fast. Awesome resource thought, I appreciate it! Ty!
yes, it is a good technique to use!
even though this video is 15years old it has helped me with my elementary linear algebra homework. Thank you🎉
Glad it helped!
you're a life saver man! i've got an exam on this tomorrow at the University of Canterbury in New Zealand. You don't get paid nearly enough to do this! i.e $0
Thank you for this, I missed these matrices lectures in my pre-cal class last week.
dude, you rule!!!! i have a test about exactly that stuff tmmrw and i was missing from classes all week so you probably saved my grade!!! thanx mate
@chadillac02 tons of videos, so come back any time
i already have an example where i row reduce, ie use gauss jordan
Man, you build the entire concept down in the first minute. They should make that line of script be required in the text book.
2:30 hour before my examsThank YouIt Helped Me Alot
isn't the 5 and 1 suppose to become negative after switching them to the invers form???
yes this guy has aids
great, straight forward and simple. better than the text book for sure.
I skipped 4 classes in a row because my math teacher blows. His entire teaching set up is terrible and he spends half the class ridiculing the students because they don't know how to do something he has yet to teach.
Keep it up Pat. I passed my 1050 final with your help.
Thank you so much. You're a great guy for for sharing your expertise with everyone like this!
i love all your videos, you teach it so simply and not complex. thank you so much :)
thks man because of you i think i'm going to pass the class keep up the god work
God bless you...up till now i couldnt understand this, but explin make it clear to me and easy to understand
@enrichedd that's the spirit
This video saved my butt tonight. Thank you!
@Daliamaya3211 happy that i can help you : )
dude, you are the goat! saved my ass from failing a major math assignment
@zyzxx1019 yep, that is correct
yessssssss thank you youtube and patrick jmt ive practically learned all of algebra 2 on here
Thank you sir. Wish me luck for my EP2 final exam on 30th June
You should be able to by using matricies on one set of equations, then using substitution on the third equation. Sometimes it requires more steps though.
PatrickJMT is a real one
I am so grateful, God, thank you for this wonderful gift you've sent to us!
Also, as a hint to others who are taking math: while memorizing equations, rules, and laws is important, of even greater usefulness is learning the logic of math. Nothing is done arbitrarily. If you can create sound reasoning and deductive skills, then solving any problem becomes a lot simpler. Even better is combing memorization with logic.
I learn more from you than I do from my teacher
Patric thank you very much!! that helped me a lot! especially the equation when you said that basically you multiply only the right side for the inverse.. that helped me a lot! because i remmember doing it in class, but i kinda foregot a little bit.. and i am having an exam soon, so i will use what u've told in the video! thanks, that helped a lot!
Your videos always help me very much. Thanks
woot! this was much better than the book
yep, i agree with that last statement
I found your method much better than using an augmented ([A|I]) matrix. Thank you! :)
holy shite - no one has pointed that out - and to think: i won the spelling bee in my school at one point in my life
What is the I*x in simplifying Ax=B? What does that I represent is more so what I'm asking? Anyone?
wait! how come you dint use the negative eleven when multiplying the second equation
Wish this was up when I took Pre-Calculus last year. Nice lesson, though:D Pretty clear and at a nice pace.
40 minutes before my final. Thank you so much for this!!!!
Thank you.. I was in another world at class when this went..now thanks to u I catches it..;)
@peter15071 i dunno.. it is probably wrong.
i probably had a beer before i thought it was a good idea to make it
Thank you so much really helped with my linear algebra quiz
yeah im in 8th rade taking algebra 2... i guess im kind of a smart ass cause no one else is taking it in my entire middle school, but i only get 2 classes per week as apposed to other who have 6 per week... I'm actually keeping ahead of other math classes, cause i do a lot at home... I just wanted to say THANKS cause these online vids are so much more helpful than the textbook...
It's been 11 years loll this was helpful
and i wish people would not post stupid comments... but that will not happen any time soon
in the end how did you multiply if the dimensions did not match.
Find x,y,a and b if [3x+4y 6 x-2y]=[2 6 4]
[a+b 2a-b -3]=[5 -5 -3]
You have to multiply in the opposite order, so not [B]*[A]^-1, but [A]^-1*[B]
I like how you explained it I just had a question. In the beginning it was 1/-11. At the end of the problem it was 1/11. Would it not be -11 making the answer -18/11 13/11?
Thanks. This helped me for my final exam
Thanks a lot ! It really helped me with my math worksheet.
Wait why did u multiply the determinant with the inverse??? Aren’t you supposed to divide it?
@CatClaws27 they'd hate/ignore me too
thank you for allowing me to pass algebra this semester
You have definitely helped me out so much. Thanks a lot!
Nice thanks sir ☺️☺️
wow you made this seem so simple. thnks
You're welcome 😊
thank you it is easy just like making x and y the subjects of the equation
Been watching your video's since 2010, you've helped me a lot though my manufacture and aeronautical course, thank you!
this vedio really help me thank you
Thanks, made things a lot more clear.
it really helped me thanks for teaching in easy form....
I know this video is like 10 years old, but you are legend dude, become a professor!
The video is really helpful.Thank you very much
Thanks a lot man this helped so much with my summer math packet. :)
[fx1] = ((A*E)/L)*[ 1 , -1 ] [u1]
fx2 -1 , 1 u2
second line is rest of matrix vertically, my question is what is the fx1 , fx2 equations not in matrix form. and how to transpose a matrix and what that do to the values inside in respect to original equations? please answer ASAP i have exam 24 dec, i.e equations from plasticity & metal forming
Thanks alot, Just passed my qm test
Excuse me is the answer going to stay like that or un décimal?
huzzah, now i may fall asleep in class to my hearts content
Hey Patrick, I have a question on your process of factoring out the 1/-11. I tried using the same method on my homework, and succeeded, though when my teacher had us call for questions in class, my answer was not correct. I went over all my math and checked the answer in the back of my textbook. It turned out, my only problem in solving the matrix correctly was I factored out the determinant, same as you did. Please correct me if I'm wrong but I would definitely some some feedback.
Really Helpful, tanx
Thank you so much for uploading this video. You literally saved my ass.
Hey patrick sir can you give examples of how to solve inverse of 3x3 matrix.
cool vid dude..
can you upload a problem of 4X4 ,5X5 or 6X6..??
it's a bit simple if its just 2X2 or 3X3 ...
how i do solve this equation using matrices?
2x-y+3z=4
3x+y-z=6
thank you so much!
@lilaminakari but i bet you like free stuff. if so, do not whine and cry about them.
If I need to solve my equation which is X(square) + xy + y(square) = 9
y(square) + zy + z(square) = 16 and Z(square) + zx + x(square) =25
Can i solve it by using Matrix , bro??? Please answer
yea Patrick can you do an example like that?
when you got 11 does it always have to be 11 or can it be any number?
this helped me clarify so much! Thanks
nice floppa pfp