Calculate the inverse of a matrix using Numpy

In this short video, I'll show you how to find the inverse of a matrix using numpy, the python package. I'll also show you how to do matrix multiplication with numpy.

Standing desk for home office

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[sk]

This type of short video about 1-2 topics is really helpful. Easy to find the info needed. Thanks!

[cernejr]

Next time please also discuss numerical stability of the algorithm and rounding-error-creep. Those are important considerations when doing numerical computations using floating point numbers.

[Singularitarian]

But note that in practice you almost never want to compute the inverse of a matrix explicitly. This is one of the important lessons of numerical linear algebra. For example, when solving Ax = b, you'd typically compute the LU factorization of A (or perhaps the QR factorization of A) rather than explicitly computing the inverse of A. When changing basis from the standard basis to the basis consisting of the columns of a matrix Q, we are given a vector x and we need to compute y = Q^{-1} x. But the best way to do that is to solve the system Qy = x. To solve that system, you would not compute the inverse of Q explicitly.

[noahrubin]

Clear and straight to the point. Thank you!

[williamgomez]

Very usefull beacuse im taking linera algebra in university and im looking for tools to help me out in everytnhing im learning <3... Id like to see more videos like thiss and like pandas and more tools to help us on calculus, probability and so on .. TY so much xo

[retinapeg]

Why are the off diagonals non-zero of np.matmul(M, Minv)? Is this due to the underlying precision of the C code running under the hood of numpy?

[tomoki-vo]

The matrix you used is the stiffness matrix of 4 springs connected in serries with stiffness of one

[brianbaker]

I believe M @ Minv and M.dot(Minv) would also do the same matrix multiplication operation with 2D numpy arrays.

[adilmajeed]

Please share the vendor name for the desk

[owaisch]

is there a way to vectorize the inverse operation if we have two or more square matrices?

[koramawin]

is there a way to represent that matrix in 2-decimal format?

[sukhamritsingh]

Wanted to ask how was your journey with Open University. I'm planning to do a bsc mathematics and statistics honours :) for data science. Would love your opinion if it's a good choice :)

[koi]

I choked on my breakfast in the intro lol

[SrNCJesus]

A multiplicação da matriz inversa pela matriz não deveria de resultar na matriz identidade? E não numa triangular superior...