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单词 Gauss transformation
释义

Gauss transformation

英语百科

Frobenius matrix

(重定向自Gauss transformation)

A Frobenius matrix is a special kind of square matrix from numerical mathematics. A matrix is a Frobenius matrix if it has the following three properties:

The following matrix is an example.

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. The inverse of the example above is therefore:

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