AI engineering glossary · Linear algebra
What is transpose?
Transpose: The matrix obtained by swapping rows and columns, so entry (i, j) moves to (j, i). It turns row vectors into column vectors, appears in the formulas for dot products and least squares, and reverses the order when applied to a product.
Transpose: an example
The transpose of [[1,2,3],[4,5,6]] is [[1,4],[2,5],[3,6]].
Related terms
More Linear algebra terms
- Triangular matrix
- Unit vector
- Vector
- Vector addition
- Vector space
- Whitening transformation
- Affine transformation
- Augmented matrix
Where you learn it
Transpose is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.