Orthogonal matrices | Lecture 7 | Matrix Algebra for Engineers
Definition of orthogonal matrices.
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I wish this was my class during covid enviorment
@nihasinghania3269
2 жыл бұрын
True that!
Wow wow wow, amazing. Hours of pounding my head and finally get it!
Short and easy to understand, thanks!
If two vector are orthonormal, does that mean we can use those vectors as basis vectors? (Also Does basis vector need to be normalised?)
your videos are helpful
brilliant explanation
very helpful. Allowed me to reason about the answer to a question in my problem set.
bloody brilliant video
Thanku so much sir
Are you actually writing in a mirror image so that we can read?? Or is it a post production where two video's are synchronized..? If yes, hats off ....!!
@0isab423
2 жыл бұрын
its probably just flipped afterwards in editing
thanks, great video! but for the explaining after kzread.info/dash/bejne/e3t2z4-gitXfhqw.html, why in such order? can the parentheses from the last two terms in the formula be removed, and combine other two terms in the formula?
I suggest showing an actual matrix and then tell that this is this kind of matrix. Instead of introducing the matrix type verbally and directly jumping into properties. If not shown an actual matrix, these Qs and other matrix notations are only letters for us.
@ProfJeffreyChasnov
5 жыл бұрын
Look at my video on Rotation matrix. Or Permutation matrices. These matrices are orthogonal.
@daniawahab2865
3 жыл бұрын
I am searching the images of the special type of matrices on the coordinate axis.
Recommended 3years later, now 2021🦅
Great video! What is norm?
@ProfJeffreyChasnov
4 жыл бұрын
Square root of the sum of the squares of the components (row elements).
@ 2:47, how does (Qx)T (Qt) equate to norm of (Qx). As mentioned in the video, its by definition. Have I missed something or there is something else. Thanks for these great lectures. really helpful
@dankprole7884
2 жыл бұрын
I had exactly the same question! If Q is dimension m by n, then x must be a column vector of dimension n by 1 because it is a vector. If you multiply Q by x then you get a column vector Qx of dimension m by 1. So (Qx)T is a row vector of dimension 1 by m. The squared norm of a vector u is the inner product uT u. So (Qx)T (Qx) is the squared norm of Qx.
@touheedkhalid3412
2 жыл бұрын
@@dankprole7884 Thanks Dank. Great explanation. Now I can see that clearly. 👍
I didnt understand anything but great video btw. guess I have to find a beginner friendly one
QQ'=I only if its a square matrix right ?
@ahmetkaansever6439
2 жыл бұрын
you can't even take the inverse of a matrix if it is not a square matrix so technically you are correct
Great! 😂
💯🔥
he's definitely jeff benzos brother
@syedaiman5705
2 жыл бұрын
I think he looks more like a particular person who has many different professions .
@gaganc7250
Жыл бұрын
@@syedaiman5705 or Mike from Breaking bad or bcs
@GoToMan
Жыл бұрын
@@syedaiman5705 Haram
A stunning lack of examples. Talk less, write more!
@GoToMan
Жыл бұрын
Come on, don't be so harsh. Whatever he said, he said it to the point.
men of culture ?