This study reveals that every invertible triangular matrix can be formed from diagonalizable matrices, suggesting new avenues in matrix theory.
It is known that a n× n matrix defined over a field can be expressed as a product of diagonalizable matrices. In this work, this problem is studied for triangular matrices of sizes n× n (n) and N. It is proved that each such matrix that is invertible can be expressed as a product of at most four diagonalizable triangular matrices. Additionally, some partial results for noninvertible matrices are presented.
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Roksana Słowik (2025) studied this question.
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