Search⌘ K
AI Features
Home
Courses
Computing Matrix Algebra with R and Rcpp

Matrix Transposition

Explore how to transpose matrices efficiently in R using the base t() function and in C++ with Rcpp implementations. Understand the algorithmic approach to matrix transposition and verify results using popular C++ libraries Armadillo and Eigen. This lesson equips you with practical skills to handle matrix transposition coding and validation.

We'll cover the following...

Matrix transposition 𝐴𝑇𝐴^𝑇 transforms the original matrix rows into columns so that a (π‘šΓ—π‘›)(π‘š \times 𝑛) matrix is transposed into (π‘›Γ—π‘š)(𝑛 \times π‘š), like so:

π‘Žπ‘–π‘—π‘‡=π‘Žπ‘—π‘–π‘Ž^𝑇_{𝑖𝑗} = π‘Ž_{𝑗𝑖} ...