Solve Linear Equations in Python using SVD, Singular Value Decomposition

Published: 20 December 2020
on channel: Binary Study

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In this video tutorial I have described how to find the solution of a system of linear equations using svd, singular value decomposition.

How to Solve Linear Equations in Python: • How to Solve Linear Equations in Python ||...

Procedure to find solution:
1. take svd of matrix A u,sigma,vt =svd(A)
2. take rank,r of A
3. find inverse of sigma using r. that inv_sigma
4. make diagonal matrix with inv_sigma ie. diag(inv_sigma)
5.multiply vt.T, diag(inv_sigma), u.T and b

You will be able to find the solution when the system is inconsistent means that the determinant of coefficient matrix is zero. And also you can solve a system when the number of variables is less then the number of equations.

On this page of the site you can watch the video online Solve Linear Equations in Python using SVD, Singular Value Decomposition with a duration of hours minute second in good quality, which was uploaded by the user Binary Study 20 December 2020, share the link with friends and acquaintances, this video has already been watched 3,685 times on youtube and it was liked by 31 viewers. Enjoy your viewing!

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