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Bird’s-Eye View of Linear Algebra: Left, Right Inverse => Injective, Surjective Maps

If matrix multiplication isn’t commutative, then why don’t we have left and right inverses?

Rohit Pandey
Towards Data Science
10 min readDec 3, 2024

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Image by midjourney

Note: all images unless otherwise specified are by the author.

This is the seventh chapter of the in-progress book on linear algebra: “A birds eye view of linear algebra”. The table of contents so far:

We covered matrix multiplication in some depth in chapter 3. We mentioned that there is an identity element for matrix multiplication, which is the matrix:

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Towards Data Science
Towards Data Science

Published in Towards Data Science

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Rohit Pandey
Rohit Pandey

Written by Rohit Pandey

I like to explain data science concepts through words, visualizations and code in the hope one of them will click. For my day job, I work at Microsoft Azure.

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