dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day! You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

This page is using the new English version of dCode, please make comments !

Tool to calculate matrix powers in algebra. Matrix power consists in exponentiation of the matrix (multiplication by itself).

Answers to Questions

How to calculate the matrix power n?

Consider \( M \) a square matrix of \( m \) lines and \( m \) columns. The calculation of the nth power of the matrix M is denoted by \( M^n \) and consists of multiplying the matrix n times by itself.

The size of the resulting matrix is identical to the original matrix M; i.e. \( m \) lines and \( m \) columns.

Calculating matrix power only works for square matrices.

How to compute a negative power of a matrix?

Calculating \ (M^{-n} \) is equivalent to \( M^{-1 \times n} \). Thus, you can calculate the inverse of the matrix and then perform with it an exponentiation to the power n.

Ask a new question

Source code

dCode retains ownership of the source code of the script Matrix Power. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Matrix Power script for offline use, for you, your company or association, see you on contact page !

dCode uses cookies to customize the site content, analyze user behavior and adapt dCode to your use. Some data is stored and collected for advertising purposes and may be shared with our partners. OK