Elements that should be in the matrix Matrix dimension (not higher than 10)
 The generated matrix with the calculated determinant

Let's create a simple generator of square matrices with a precomputed determinant.

Basically, it is intended for teachers who create their own tasks for their students.

The generator creates a matrix of given elements, including complex ones and calculates its determinant. Convenient for creating jobs.

The restriction is only one, the dimension of the matrix (in this implementation) can not exceed 10 elements in a row.

In fact, you can generate and 30 dimensional matrix, but the practical value for most users of the site will be zero. What else?.

The dimension can not be specified, then the matrix will have a dimension by the number of elements that are specified in the first line.

Some examples

$\begin{pmatrix}4 & 6 & 4 & 2 & 5 & 4 \\ 5 & 2 & 5 & 5 & 4 & 6 \\ 1 & 4 & 5 & 3 & 5 & 2 \\ 5 & 4 & 2 & 6 & 5 & 1 \\ 4 & 6 & 5 & 2 & 5 & 4 \\ 6 & 6 & 6 & 2 & 6 & 1 \\ \end{pmatrix}=-1108$

$\begin{pmatrix}0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 \\ 1 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 1 \\ 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1 & 0 \\ \end{pmatrix}=7$

$\begin{pmatrix}-i & -1 & -i & i & 1 & -1 & 1 \\ -i & -i & -1 & -i & i & -1 & -i \\ i & -i & 1 & -1 & -i & 1 & -1 \\ i & 1 & i & 1 & i & -i & -i \\ -i & -i & -i & 1 & -1 & 1 & -1 \\ i & -i & i & i & -i & 1 & 1 \\ 1 & -i & i & -i & 1 & -i & -i \\ \end{pmatrix}=\\\\=-112-8i$

$\begin{pmatrix}-5/7 & i & 0.12 & 5 & -7 \\ i & i & -5/7 & 0.12 & -5/7 \\ -5/7 & -7 & -7 & 5 & -7 \\ -5/7 & 0.12 & -5/7 & -7 & 5 \\ -7 & -7 & 5 & i & -7 \\ \end{pmatrix}=\\\\=-405.02983724789+1598.4835918367i$

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