Definition:Determinant/Matrix/Order 1

Definition

Let $\mathbf A = \sqbrk a_1$ be a square matrix of order $1$.

That is, let:

$\mathbf A = \begin {bmatrix} a_{1 1} \end {bmatrix}$

Then the determinant of $\mathbf A$ is defined as:

$\begin {vmatrix} a_{1 1} \end {vmatrix} = a_{1 1}$

Thus the determinant of an order $1$ matrix is that element itself.

Sources

• 1998: Richard Kaye and Robert Wilson: Linear Algebra ... (previous) ... (next): Part $\text I$: Matrices and vector spaces: $1$ Matrices: $1.6$ Determinant and trace
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): determinant