Matrices and Determinants
Properties of Determinants
Premium Question
Grade 12
Question:
If $A$ is a $3 \times 3$ skew-symmetric matrix, then $|A|$ equals _____.
Step-by-Step Solution
Key Concept: Use $A^T = -A$, take determinants of both sides using $|A^T| = |A|$ and $|-A| = (-1)^3|A|$, and solve the resulting equation for $|A|$.
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Correct Answer: 0