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sure! the determinant of a square matrix is a scalar value that can be computed from the elements of the matrix. the determinant is only defined for square matrices, meaning matrices with the same number of rows and columns. the determinant of a 1x1 matrix is simply the value of the single element in the matrix. for larger square matrices, the determinant can be calculated using various methods, such as cofactor expansion, row reduction, or using the properties of determinants.

here is a python solution to calculate the determinant of an nxn matrix using recursion and the cofactor expansion method:



in this code snippet, the function `determinant` takes a square matrix `matrix` as input and recursively calculates the determinant using the cofactor expansion method. the function handles base cases for 1x1 and 2x2 matrices, and for larger matrices, it iterates over the first row to calculate the determinant by recursively calling itself on smaller submatrices.

here is an example of how to use this function to calculate the determinant of a 3x3 matrix:



in this example, the determinant of the 3x3 matrix `matrix` is calculated using the `determinant` function, and the result is printed to the console.

i hope this tutorial helps you understand how to calculate the determinant of an nxn matrix in python! let me know if you have any questions.

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