What is the goal of the problem?

[nao113]

Homework Statement

Hello, I tried to solve SVD questions using python. I already got the answer for this . Then, I tried to use python to solve this case by looking at thee tutorial https://www.youtube.com/watch?v=_So8j8T-E1o&list=PLRDl2inPrWQW1QSWhBU0ki-jq_uElkh2a&index=43.
But when I tried by myself. I found the value of U and VT are different from the correct answer.

Can anyone point out what I did wrong here？

Relevant Equations

I put them below

Question:

Correct Answer:

U and VT in code:

 

[Mark44]

From your post it's difficult to understand what you are doing. In the problem statement, the only information given is the matrix H. What is the goal of the problem? Are either p or x given? The image shows $p = Hx$. Is the goal to solve for x?

In your work, you show an array named U, but it doesn't match the array named U in what you show as the correct answer. Your array U looks similar to the array named $V^T$ in the solution, but some of the array entries have different signs. The correct answer shows a vector for p. Was that given?

If you provide a complete problem statement, maybe we can help you figure out why you're getting different results than are shown in the solution.