QR Factorization/Decomposition by Gram-Schmidt Orthogonalization Explained on Casio fx-991ES

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I'm Sujoy from India. Today you'll learn how to find QR Decomposition or QR Factorization of square matrix by Gram Schmidt Orthogonalization with detailed explanation.
This is my first video in the series. In my next video,I'll tell you how to find the QR Decomposition directly on Casio fx-991ES Scientific Calculator !!
Topics explained in this video-
1. Basics of matrix algebra
2. How to find orthonormal columns of square matrix
3. How to find length of a vector manually (modulus of a vector)
4. How to find dot product of two vectors manually
5. How to find projection of a vector on another vector
6. How to convert a 3x3 matrix to orthogonal matrix
7. What is lower triangular matrix and upper triangular matrix - explanation
8. Properties of orthogonal matrix Q
9. How to find upper triangular matrix R
10. A = QR demonstration
11. Properties of QR Factorization with Proof on Casio fx-991ES
A = QR
R = QT.A
Q = A.R^-1
QT = Q^-1
QT.Q = Q.QT = I
QR Decomposition is Matrix version of Gram Schmidt Orthogonalization
That's it for now!
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[@gulabpreetsingh9985]

only video on youtube explaing QR IN BEST WAY

[@sujoy70]

But still people don’t subscribe :-(
Started channel 13 year ago, given quality content, still even 1 Lakh subscribers not there, forget one Million!

[@jayezh]

​@@sujoy70Great explanation sir. Subscribed :)

[@laibayounas8343]

Sir this videos has helped me solve my assignment .........thankue

[@deepthigorthi]

Thank you for the explanation sir. Very helpful with respect to programming!

[@jonatan01i]

Thanks for the nice demonstration. It was helpful!

[@abiodunadedokun8762]

Fantastic explanation...thank you!

[@hindoumabdinnour3917]

طريقة واضحة و سهلة، شكرا جزيلا

[@kumarp1767]

simply superb

[@srihari4251]

How did you get that R values sir ?

[@KULDEEPSINGH-cu6pg]

thanks its very helpful

[@zDoubleE23]

i feel like ive seen this handwriting before on chegg lol

[@om.mishraofficial]

Great

[@Mihai-mb4ew]

you are awesome

[@akashwaghmare6213]

Nice

[@ambareesh69]

oombu

[@jayezh]

??