Category:Characteristic Polynomial of Matrix
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This category contains results about Characteristic Polynomial of Matrix.
Definitions specific to this category can be found in Definitions/Characteristic Polynomial of Matrix.
Let $R$ be a commutative ring with unity.
Let $\mathbf A$ be a square matrix over $R$ of order $n > 0$.
Let $\mathbf I_n$ be the $n \times n$ identity matrix.
Let $R \sqbrk x$ be the polynomial ring in one variable over $R$.
The characteristic polynomial of $\mathbf A$ is the determinant of the characteristic matrix of $\mathbf A$ over $R \sqbrk x$:
- $\map {p_{\mathbf A} } x = \map \det {\mathbf I_n x - \mathbf A}$
Pages in category "Characteristic Polynomial of Matrix"
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