Definition:Determinant/Matrix/Order 1

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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.