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Vocabulary

Understand the term. Connect the concept.

A practical dictionary of 512 AI, machine learning, mathematics, and programming terms from HerbDev’s AI Vocabulary app. Start with a definition, explore an example, then follow the concepts behind it.

Linked concepts open in a new tab. Audio reads the definition and example.

Matrix Multiplication

Mathematics · Level 2 of 5

Matrix Multiplication

A composition operation whose entries are row-column dot products.

Inner dimensions must match, and swapping operands usually changes the result.

Example

A batch matrix with shape 32 by 10 multiplies a weight matrix of shape 10 by 4.

Listen to the definition and example

Audio transcript

Matrix Multiplication. A composition operation whose entries are row-column dot products. Inner dimensions must match, and swapping operands usually changes the result. For example: A batch matrix with shape 32 by 10 multiplies a weight matrix of shape 10 by 4.

Explore this concept

A useful analogy

Combining two stages of a linear transformation into one.

Why it matters

This notation connects model equations to the calculations implemented in code.

Technical detail

If A is m×n and B is n×p, AB is m×p with (AB)_ij = Σ_k A_ik B_kj.

Common misconception

Matrix multiplication is not elementwise multiplication and is generally not commutative.

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Related concepts

Quick recall question

Try answering before looking back at the definition.

Put the terminology into context: How AI works · Machine-native representations · All learning paths

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