Factorizations of Some Variants of a Statistical Matrix

Abstract

In this article, we define eight orthogonal matrices which are strongly related with the well known Helmert matrix. We obtain $LU$ factorizations by giving explicit closed-form formulas of the entries of $L$ and $U$. We also factor matrices by expressing them in terms of diagonal matrices.

Keywords

• Factorization of matrices
• Matrix inversion
• Helmert matrix
• Orthogonal matrices

References

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