The group involutory matrix of the combinations of two idempotent matrices (Q442942)
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scientific article; zbMATH DE number 6063407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group involutory matrix of the combinations of two idempotent matrices |
scientific article; zbMATH DE number 6063407 |
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The group involutory matrix of the combinations of two idempotent matrices (English)
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6 August 2012
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Summary: We discuss the following problem: when the linear combination \(aP + bQ + cPQ + dQP + ePQP + fQPQ + gPQPQ\) of idempotent matrices \(P\) and \(Q\), where \(a, b, c, d, e, f, g \in \mathbb C\) and \(a \neq 0, b \neq 0\), is group involutory.
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group inverse
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idempotent matrices
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group involutory
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linear combination
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