The

**characteristic polynomial**of $A$ is the D4881: Complex function \begin{equation} \mathbb{C} \to \mathbb{C}, \quad z \mapsto \text{Det}(z I_N - A) \end{equation}

▾ Set of symbols

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Map

▾ Countable map

▾ Array

▾ Matrix

▾ Square matrix

▾ Set of square matrices

▾ Matrix determinant

▾ Complex matrix determinant

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Map

▾ Countable map

▾ Array

▾ Matrix

▾ Square matrix

▾ Set of square matrices

▾ Matrix determinant

▾ Complex matrix determinant

Formulation 0

Let $A \in \mathbb{C}^{N \times N}$ be a D6159: Complex square matrix.

The**characteristic polynomial** of $A$ is the D4881: Complex function
\begin{equation}
\mathbb{C} \to \mathbb{C}, \quad
z \mapsto \text{Det}(z I_N - A)
\end{equation}

The

Results