Computing the Singular Value Decomposition

MIT 18.06SC Linear Algebra, Fall 2011
Instructor: Ben Harris

A teaching assistant works through a problem on computing the singular value decomposition.

License: Creative Commons BY-NC-SA

[SilentSnipest]

Thank you Dr. Strang, TAs, and MIT for allowing me to pursue my dreams.

[AnupKumar-wked]

Ben Harris! You are awesome. Thanks Professor Strang for choosing this awesome team of TAs. They have all done an extraordinary job. I have become fan of all of them.

[_mishi]

I didn't like the numbers in C^TC so I took CC^T searching for U to see if I got better numbers and I did. its a matrix with first row vector being (50, 30) and second row vector being (30, 50). Just in case someone else also didn't want to calculate 26*74-18^2

[confusionreigned]

The final answer for U has a typo, the (1, 1) entry should have a -ve sign, not the (2, 1) entry.

[BrunoLunardon]

This video is gonna save my test tomorrow thank you

[quirkyquester]

Hey Ben, this is an amazing video, thank you so much! This really helps me to understand the lecture.

[jack]

Ben. You're amazing! I love your recitation videos. Awesome jobs!

[mekala]

Correct U is :
1 / sqrt(2) *
[-1 1]
[ 1 1]

[sipraneye]

why did he change the sign of elements of U at last

[JohnYuFitness]

My exam asked to SVD a 4x4 matrix by hand where all the numbers in the matrix were greater than 10. I skipped it!

[NisargJain]

i took a different eigen vector and now my answer is all wrong and i made the same mistake professor strang im so confused...