# Manuals/calci/FROBENIUS

MATRIX("FROBENIUS",order)

• is the order of the matrix.

## Description

• This function gives the matrix with the property of Frobenius.
• A Frobenius matrix is a special kind of square matrix from numerical mathematics.
• A square matrix is a Frobenius matrix if it has the following three properties:
1. All entries on the main diagonal are ones
2. The entries below the main diagonal of at most one column are arbitrary
3. Every other entry is zero.
• And also Frobenius matrices are invertible.
• The inverse of a Frobenius matrix is again a Frobenius matrix, equal to the original matrix with changed signs outside the main diagonal.
• Here MATRIX("frobenius") gives the frobenius matrix of order 3.
• In calci, users can get a different order of matrices also.

## Examples

1. MATRIX("frobenius") = 1
2. MATRIX("frobenius",3)
 1 0 0 0 1 0 0 0.769998 1

Norm of Matrix