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The Palindrome
Epsilons, no. 2: Understanding matrix multiplication
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Epsilons, no. 2: Understanding matrix multiplication

The geometric and algebraic interpretation of matrix products

Tivadar Danka's avatar
Tivadar Danka
Mar 13, 2023
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The Palindrome
The Palindrome
Epsilons, no. 2: Understanding matrix multiplication
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Matrix multiplication is not easy to understand.

Even looking at the definition used to make me sweat, let alone trying to comprehend the pattern. Yet, there is a stunningly simple explanation behind it.

Let's pull back the curtain!

Understanding mathematics is a superpower. Subscribing to The Palindrome will instantly unlock it for you. For sure. (Or at least help you get there, step by step.)

First, some notations.

The product of A and B is given by the following formula. Not the easiest (or most pleasant) to look at.

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