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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 site \( m \) (\( m \) rows and \( m \) columns). The calculation of the \( n \)th 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 (due to constraints with matrix products).

How to compute a negative power of a matrix?

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

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