This Determinant Trick Saves Time 🧠 | Properties of determinant | Skew Symmetric Matrix

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The determinant of a skew symmetric matrix of odd order is always zero. A skew symmetric matrix is a square matrix where the transpose equals its negative (A^T = -A), meaning all diagonal elements are zero and elements are negated across the main diagonal. This property is a fundamental result in linear algebra that can be proven using the properties of determinants and the definition of skew symmetric matrices.