In mathematics, particularly in linear algebra, a determinant is a scalar value that is a function of a square matrix. It provides important information about the matrix and the linear transformation it represents. The determinant can be thought of as a measure of the "volume scaling factor" by which the linear transformation associated with the matrix transforms space. Here are some key properties and interpretations of determinants: 1. **Square Matrices**: Determinants are only defined for square matrices (i.e.
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