ThmDex – An index of mathematical definitions, results, and conjectures.

Result R2463 on D763: Matrix determinant

Determinant of a real identity matrix

Formulation 0

Let $I_N \in \mathbb{R}^{N \times N}$ be a D5621: Real identity matrix.

Then \begin{equation} \text{Det} I_N = 1 \end{equation}

Proofs

Proof 0

Let $I_N \in \mathbb{R}^{N \times N}$ be a D5621: Real identity matrix.

This result is a particular case of R4106: Determinant of real diagonal matrix. $\square$