Linear Algebra

Matrix Multiplication

Matrix multiplication combines rows of the first matrix with columns of the second.

Meaning

What Is Matrix Multiplication?

Matrix multiplication combines rows of the first matrix with columns of the second.

Matrix multiplication combines rows of the first matrix with columns of the second.

Examples

Examples of Matrix Multiplication

1[[1,2]]·[[3],[4]] = [[11]].
Understand

Formula and Key Points

Formula / rule
(AB)ᵢⱼ=ΣₖAᵢₖBₖⱼ
  • Know the definition and standard notation for Matrix Multiplication.
  • Be able to recognise or compute matrix multiplication in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in computer graphics, machine learning, computer vision, signal processing, robotics and scientific computing. Core to neural networks, graphics pipelines and many high-performance numerical algorithms.

FAQ

Matrix Multiplication: Frequently Asked Questions

What is Matrix Multiplication?

Matrix multiplication combines rows of the first matrix with columns of the second.

Why is Matrix Multiplication useful in computer science?

Used in computer graphics, machine learning, computer vision, signal processing, robotics and scientific computing. Core to neural networks, graphics pipelines and many high-performance numerical algorithms.