Machine Learning | Singular Value Decomposition (with mathematical equations and examples)

In linear algebra, the Singular Value Decomposition (SVD) of a matrix is a factorization of that matrix into three matrices. It has some interesting algebraic properties and conveys important geometrical and theoretical insights about linear transformations. #MachineLearning #SVD #DimensionalityReduction
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[DrAndyShick]

It is astonishing the number of rules for SVD that are supposedly generally accepted, but if you watch any two videos on it, the procedure will be very different regarding what to do, what you're allowed to do, etc

[shashankbangera]

Wow, what a beautiful explanation Ranji Sir. I comprehended every step you did Thank you so much for putting enormous efforts into making flawless videos. I got huge respect for you!

[marklunch]

That method of calculating the determinant using the trace/original determinant/minors is genius! Why have I been going through all that algebra before? Completely error prone the old way.

[shubhamkumar]

Wonderful explanation I won't find any video on svd decomposition better than this Thank you so much

[premrajanprasad]

While calculating v matrix when you took eigen value of 10 and using Cramer's rule the eigen vector should be 2, -1, 0

[premrajanprasad]

Otherwise, I was trying to understand this svd and I have completely understood by your teaching thankyou sir make this type of videos it helps us a lot

[rvandrangi]

Very good explanation. The SVD is made so simple particularly in characteristic equation the coefficient of lambda is the sum of the minors of diagonal elements is not covered in many UG text books. I liked the video quality particularly the white board and lighting without any glare on the board.

[rubix]

Though this topic is quite complex, but you explained it really well. I was able to understand the topic on the very first go. Thank you so much!

[vatsal_gamit]

You are a blessing!! Thank you for this video :)

[DevanshShukla]

Amazingly taught ! Easier to understand the problem and solve SVD!

[RealUniquee]

finally got mathematical explanation that was easy to understand

[varunsen]

That was one very good SVD Explanation.
Thank You so much for the effort.

[ujjwalahuja]

Saved me from failing in exams.. thanks .. OP teaching .. U r THE BEST./

[Annasupari]

This is the video by which i understood SVD after watching n confusing videos.

[sugata]

nicely described..even people like me who knows nothing can easily understand..thanks a lot for sharing your knowledge.

[h_]

I am math teacher and for this video i too increase my concepts amazing and great thank u

[subarnamath]

Sir, There are many mistakes in your calculations throughout the video, please, calculate properly 🙏🙏

[dineshv]

Clear and concise explanation, loved it!

[constructivecritic]

second column of V is transpose of [-2 1 0]...there is a negative sign missed in calculation ....in your calculation it is coming to be transpose of [ 2 1 0]....but I got the idea...thanks

[ninglunmang]

Very Good Lecture!!
Thank you so much!!
May God bless U more!!