Maths · Matrices, algebra of matrices, type of matrices
If is a skew symmetric matrix of order 3, then the value of is
If \( A \) is a skew symmetric matrix of order 3, then the value of \( |\boldsymbol{A}| \) is
- A. 3
- B. 0
- C. 9 \)
- D. 27
Step-by-step solution
For a skew symmetric matrix A of order n, A^T = -A. Taking determinant, |A| = |A^T| = |-A| = (-1)^n |A|. For n=3 (odd), we get |A| = -|A|, so 2|A|=0, hence |A|=0.
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