Linear Algebra

Transpose

The transpose of a matrix swaps its rows and columns.

Meaning

What Is Transpose?

The transpose of a matrix swaps its rows and columns.

The transpose of a matrix swaps its rows and columns.

Examples

Examples of Transpose

1[[1,2],[3,4]]ᵀ = [[1,3],[2,4]].
Understand

Formula and Key Points

Formula / rule
(Aᵀ)ᵢⱼ=Aⱼᵢ
  • Know the definition and standard notation for Transpose.
  • Be able to recognise or compute transpose 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.

FAQ

Transpose: Frequently Asked Questions

What is Transpose?

The transpose of a matrix swaps its rows and columns.

Why is Transpose useful in computer science?

Used in computer graphics, machine learning, computer vision, signal processing, robotics and scientific computing.