8:30 Here I am, 67 years old, and it just hit me *WHY* you can interchange matrix rows, but not the columns. The reason is simply that all interchanging rows represents is changing the order that the individual equations are presented: it does not change their collective solution. The biggest *DUH!* of my mathematical life! (Thank you)
I was a little rusty on matrices (ie. had forgotten everything), since I hadn't used them for over 50 years, but this video brought it all back - absolutely superb. Although, having said that, inverting a matrix is easy nowadays - just type it into a scientific calculator (eg. HP48) and press 1/x. 🤣🤣🤣
Matrices are an excellent way of storing data for subsequent statistical analysis. We've become used to spreadsheets / databases but a simple custom program using a matrix really flies.
And quaternions and octonions. Surely there is some profound meaning in Hamilton's i^2 = j^2 = k^2 =ijk = -1 ? That sure is a lot prettier than i^2 = -1 ?
You will definitely very much need *algebra* if you plan to do computer programming or spreadsheets. The computer does not know the numbers at program compile time, those can only be determined at run time, so you will be doing the math in algebra form. Not everything can be calculated by your cheap pocket calculator. I should know, as I have dabbled in some programming, and the amount of algebra used was crazy. Few people have any idea just how much mathematics is used to make a "simple" calendar app perform. Even to build the "simple" user database so that when I typed a comment onto a month, that it automatically appears upon that month, and no other month. I wish I could sell people on the importance of algebra better than the above, but I have done both programming and spreadsheets, and so I was very glad to have a good understanding of algebra, so much in fact, that I was able to create a lot of my own mathematics when I programmed a Calendar app on my graphing calculator. It was calculating when holidays occur and everything. But the batteries died during recompiling and my TI-89 erased all my programs when I reset it, because it did not want to turn on properly, and it gave no warning that could have allowed the Archive memory not to be reset. What a bummer. Quite unacceptable Texas Instruments. Maybe I will try again under Android, once I learn how?
I understand that matrices lend themselves to fast math in GPU's, but somehow I find them to be confusing, when trying to understand the underlying problems they are used to solve. I wonder if all the transposing, inversing and augmenting are self inflected necessities that don't exist outside of matrix world? There are so many rules and constraints, that they don't seem to be invented by the gods of math and logic. 😇
They become much less confusing when you grasp vectors and linear transforms. That's a sizeable chunk of knowledge but you have to do math to understand math.
How many people here would watch a 3-hour video? But I do know how to do an amortization schedule. Just have to find my note on how the monthly payment is calculated. I did all 360 rows on a spreadsheet and because "fractional cents" pretty much do not exist in finances, and so I rounded my cells properly to the 2nd decimal place, not just rounding the display format, it came out exactly the same to the penny.
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i just want to tell you one thing
*NEVER EVER STOP MAKING VIDEOS LIKE THIS*
these kind of videos helps a ton of students
this videos a GEM fr!❤ thank u for making this!
Im speedrunning math with your channel.
Same
Me too still in year 7😂
Very well explained. I remember a college course long ago that took 10 week to explain this.
Funny thing to me in math is always: You think you understood something and then the prof asks a question you have absolutely no answer for.
After struggling a year i finally understand it thanks to you brother 😊 and keep uploading ❤
8:30 Here I am, 67 years old, and it just hit me *WHY* you can interchange matrix rows, but not the columns. The reason is simply that all interchanging rows represents is changing the order that the individual equations are presented: it does not change their collective solution. The biggest *DUH!* of my mathematical life! (Thank you)
Teşekkürler.
loved it and wish Ive found it during my discrete math cuz my prof sucked at explaining
very informative ! i wish you'll never stop uploading math videos like this
I was a little rusty on matrices (ie. had forgotten everything), since I hadn't used them for over 50 years, but this video brought it all back - absolutely superb. Although, having said that, inverting a matrix is easy nowadays - just type it into a scientific calculator (eg. HP48) and press 1/x. 🤣🤣🤣
KEEP IT ROLLING MY FRIEND DON'T STOP!!!
Thanks!
Thanks bro now i understood all about matrix❤❤
I think this is very helpful vedio to revision about the matrices, good luck❤❤ from india
Thank you for simple and clear videos. Please upload about sequences and series???🙏🙏🙏🙏
Instant subscribe! Some other ideas for 10 must knows videos: advanced matrix, linear algebra, calculus I, calculus II, vector spaces.
thank you so much for this! this is amazing and so informative ❤
You fr saved my life here. LEGEND ❤
Thank you this was the kind of explanation in matrix that i was looking for ❤❤❤❤❤❤❤❤❤
Thanks a lot my friend because iam the person who commented to upload matrices ❤ from India ❤❤🎉😊😊
Please do a video on circles and complex numbers..
I'm not even a student but watching you at 2 am is the relax I feel like indulging into
Thank you!
Would you happen to know if there are any early matrix theory papers that explicitly discuss their choice of notation m x n?
Amazing content. Bumping for the algorithm
Nice teaching. Your students are really lucky. S Chitrai Kani
Your hardware and software allows you to easily edit and manipulate the items on your blackboard. What do you use?
Nicely done !
Thank you so much. Would it be possible to make one of these videos on imaginary numbers and polar coordiantes?
Excellent
U saved my grade
Thank you
amazing video
Matrices are an excellent way of storing data for subsequent statistical analysis. We've become used to spreadsheets / databases but a simple custom program using a matrix really flies.
So good thanks
you're amazing thank you !!!
This guy summarised like 50% of my university Linear algebra course in 45 minutes lol
Thank you sir..
Thank you man, also can you make a video about real and complex numbers
And quaternions and octonions.
Surely there is some profound meaning in Hamilton's i^2 = j^2 = k^2 =ijk = -1 ?
That sure is a lot prettier than i^2 = -1 ?
Amazing content mate
fire bro❤🔥❤🔥
Friend , please make a video on functions ❤❤❤
wow you are amazing man
(1/quagradic) like equation graph eg- 1/(3x+1) , 1/(ax^2+bx+c) please
I left school in 1960. I have never used Algebra since I left school. I have multiple Trades.
You will definitely very much need *algebra* if you plan to do computer programming or spreadsheets. The computer does not know the numbers at program compile time, those can only be determined at run time, so you will be doing the math in algebra form. Not everything can be calculated by your cheap pocket calculator. I should know, as I have dabbled in some programming, and the amount of algebra used was crazy. Few people have any idea just how much mathematics is used to make a "simple" calendar app perform. Even to build the "simple" user database so that when I typed a comment onto a month, that it automatically appears upon that month, and no other month.
I wish I could sell people on the importance of algebra better than the above, but I have done both programming and spreadsheets, and so I was very glad to have a good understanding of algebra, so much in fact, that I was able to create a lot of my own mathematics when I programmed a Calendar app on my graphing calculator. It was calculating when holidays occur and everything. But the batteries died during recompiling and my TI-89 erased all my programs when I reset it, because it did not want to turn on properly, and it gave no warning that could have allowed the Archive memory not to be reset. What a bummer. Quite unacceptable Texas Instruments. Maybe I will try again under Android, once I learn how?
could you do a videos on logics and truth tables?
I understand that matrices lend themselves to fast math in GPU's, but somehow I find them to be confusing, when trying to understand the underlying problems they are used to solve. I wonder if all the transposing, inversing and augmenting are self inflected necessities that don't exist outside of matrix world? There are so many rules and constraints, that they don't seem to be invented by the gods of math and logic. 😇
They become much less confusing when you grasp vectors and linear transforms. That's a sizeable chunk of knowledge but you have to do math to understand math.
keep up bro
You are a goat Mr. Jensen
Algebra next please
Can you please make vid on integrals
Sehr gut
Vector algebra please
Maaan I wish I found this video last year
Do another video about "... but it keeps getting harder."
Straight lines top 10
i always looked at matrices as chess
Pls do finance
How many people here would watch a 3-hour video?
But I do know how to do an amortization schedule. Just have to find my note on how the monthly payment is calculated. I did all 360 rows on a spreadsheet and because "fractional cents" pretty much do not exist in finances, and so I rounded my cells properly to the 2nd decimal place, not just rounding the display format, it came out exactly the same to the penny.
commenting so that is reaches more people don't stop my teacher.
JensenMa.....th🤓
Speed running math as a year 7😂
Linear algebra
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over. just one more math exam and its all over.
😂 Was it really over?
Just remember that Jesus Christ loves you, He's waiting for you to return home❤
You could have said that reduce row echelon form is when the co-efficient matrix of the augmented matrix is transformed into the identity matrix.
Wrong. The reduced row echelon form can have free variables, unlike the identity matrix. And it doesnt need to be square either
Andrew Tate Approves
Thank you for simple and clear videos. Please upload about sequences and series???🙏🙏🙏🙏