The Palindrome

The Palindrome

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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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!

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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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