AHHHH! I didn't know what I was doing in high school. I was plugging in numbers, and it was usually correct, I passed, but why was I plugging in those numbers? Why? WHY? WHY!!!? I didn't know. Now I know!! Thanks! 20 years of confusion cleared up in a 20 minute video! I also second Guido Feliz's suggestion, write a book. You have a good teaching quality.
wowwww i took lineer algebra course i passed it with b but i never understood it this way bcz none explained you really superman man thnxx for doing this
THANK YOU SO MUCH PROFESSOR. Currently I am a student of IIT Madras one of the tech. Institute of India and my maths is bit weaker as compared to other subject but after watching your lectures each and everything is crystal clear
imagine going through high school without knowing what y=2 means in depth. I always knew it was a horizontal line, but my brain never went, the slope is 0. I really appreciate the in depth explanation, thank you 🙏
I always use matrices when I solve first-order linear equations. Just plug the coefficients for x and y along with the constant into an augmented matrix on a calculator and use the RREF command on everything, and you get all the solutions at once, lol.
thank you so much for the impart you are making through the teaching of mathematics which is very understandable and simple. may i humbly request if it's possible to also make a video of Matrices. thank you.
so i noticed you plot y = 3/1 and y = 2 on the same points. shouldn't it be two different points (3,1) and (1,2) ? which means the point for (3,1) should be higher up on the y axis than (1,2)
Great question Jake! Your goal is to find the location where these two lines meet, if they do. You could use the substitution method, however, do you see how the y's are opposites? One is a +2y and the other is a -2y. If you were to add these together +2y and -2y, you would get 0. Because they cancel out, elimination would be the easiest method. So let's add these two equations together. x + 3x = 4x. The y's cancel. And 4+4 =8. So you have 4x = 8. One more step to solve for x. X is being multiplied by 4, so to undo multiplication, divide. So x = 2. Now you can use substitution to solve for y. The first equation looks easier to plug into, so substitute 2 in place of the x, and solve for the variable leftover (y). So you have 2 + 2y = 4. Subtract 2 from both sides using inverse operations. So you have 2y = 2. So y= 1. These two lines meet at (2, 1). You can check you answer by substituting 2 for x and 1 for y into both equations. If you did it right you will get true statements. Know it is hard to learn math through just typed words, but hope that helps some! 😃
I might be a tad bit advanced when i say "wait dont variables come into play and wont there be 2 solutions?" then i realized we are looking at straight lines and not curved ones
AHHHH! I didn't know what I was doing in high school. I was plugging in numbers, and it was usually correct, I passed, but why was I plugging in those numbers? Why? WHY? WHY!!!? I didn't know. Now I know!! Thanks! 20 years of confusion cleared up in a 20 minute video! I also second Guido Feliz's suggestion, write a book. You have a good teaching quality.
wowwww i took lineer algebra course i passed it with b but i never understood it this way bcz none explained
you really superman man thnxx for doing this
Sir I am from India and great fan of yours
I was looking for that "aahha" moment and I found it in your video. Thank you kind sir
THANK YOU SO MUCH PROFESSOR. Currently I am a student of IIT Madras one of the tech. Institute of India and my maths is bit weaker as compared to other subject but after watching your lectures each and everything is crystal clear
I love madras curry, eat it all the time
Brilliant man. THIS IS YOUR CALLING!!!
imagine going through high school without knowing what y=2 means in depth. I always knew it was a horizontal line, but my brain never went, the slope is 0. I really appreciate the in depth explanation, thank you 🙏
This was such a good explanation. *applause*
No teacher explain like you professor
thank you so much professor Leonard , it really helps
If I was your student I will very happy
*would
@@trashweasel5124 i wanted to say that too😂
@@trashweasel5124 If I was your student I would very happy
Your are really a greater teacher.Thank very much sir.
Best explanation to date, thank you
Thx, my teacher this semester is wack, this will help.
you are exceptional.
I always use matrices when I solve first-order linear equations.
Just plug the coefficients for x and y along with the constant into an augmented matrix on a calculator and use the RREF command on everything, and you get all the solutions at once, lol.
Gaussian - Jordan elimination method , rref means reduced row echelon form
Good job Professor!
Thank you sooo much!! You teach so clearly.
Thx finals are tomorrow and I was listening to beatles and chuck berry during class. Can u blame me though
Yes
Damnn proff those bicepsss Litt af
Keeping track of my position using Professors tshirts
woo there you go 500 thumbs up. good video!
Thanks a lot Professor 🙏
You look like superman and you are like superman when it comes too math thx ._.
Professor Leonard:
Why not put all this information in books? Do you have a math textbook? Did you ever write a math book?
these days kids dont read textbook...
It is already in books; he has extracted it and made it easier to understand
thank you so much for the impart you are making through the teaching of mathematics which is very understandable and simple. may i humbly request if it's possible to also make a video of Matrices. thank you.
would you please help me, in which videos have you talked about matrix?
so i noticed you plot y = 3/1 and y = 2 on the same points. shouldn't it be two different points (3,1) and (1,2) ? which means the point for (3,1) should be higher up on the y axis than (1,2)
Fantastic!!
Your look like superman, Great Video!!!
I'm curious how you would teach proofs
Great video sir.
Will you teach how to solve linear equations using matrix manipulations?
Thank you Sir Henry Cavill😆
is this linear algebra?
my teacher speaks broken english, i cant understand him. this helps a lot...
well explained but i still don't understand how to solve the more complicated ones like this
x+2y=4
3x-2y=4
Great question Jake! Your goal is to find the location where these two lines meet, if they do. You could use the substitution method, however, do you see how the y's are opposites? One is a +2y and the other is a -2y. If you were to add these together +2y and -2y, you would get 0. Because they cancel out, elimination would be the easiest method. So let's add these two equations together. x + 3x = 4x. The y's cancel. And 4+4 =8. So you have 4x = 8. One more step to solve for x. X is being multiplied by 4, so to undo multiplication, divide. So x = 2. Now you can use substitution to solve for y. The first equation looks easier to plug into, so substitute 2 in place of the x, and solve for the variable leftover (y). So you have 2 + 2y = 4. Subtract 2 from both sides using inverse operations. So you have 2y = 2. So y= 1. These two lines meet at (2, 1). You can check you answer by substituting 2 for x and 1 for y into both equations. If you did it right you will get true statements. Know it is hard to learn math through just typed words, but hope that helps some! 😃
@@LakePleasantGrove very helpful!
Please replace my teacher with you
Holy shit your biceps!
I might be a tad bit advanced when i say "wait dont variables come into play and wont there be 2 solutions?" then i realized we are looking at straight lines and not curved ones
Thx
Professor, how to solve system of linear equations with n-variables?
You'll need n systems of equations and you solve them by putting one variable in terms of the others
12years later math came back to hunt me on the asvab. Smh
CMON RUclips I HAVE CLASSES STOP WITH THE ADS
Yeeeerrrrrrrrrrrrrrrrr
Your biceps remind me of eggs... I’m a fan of eggs 😉
You look like henry cavill's stunt double who is famous for being more handsome than him.
get new markers!
bolgaria
@Daniel Conroy cool... are u actuallly??!!?
सलामी