The multiplicative property refers to the principle that the determinant of a product of two square matrices is equal to the product of their determinants. This means that if you have two square matrices A and B, then the determinant of their product is given by the formula: $$\text{det}(A \cdot B) = \text{det}(A) \cdot \text{det}(B)$$. This property is essential in understanding how determinants interact with matrix operations and is fundamental in various applications involving determinants.
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