Questions
If A is a 3 × 3 skew-symmetric matrix, then trace of A is
a
A
b
1
c
-1
d
None of these
detailed solution
Correct option is A
As A is a skew symmetric matrix⇒ aii = 0 ∀ i ⇒ trace(A) = 0Also, |A| = |A′| = |–A| = (–1)3|A|⇒ 2|A| = 0 ⇒ |A| = 0∴trace(A) = |A|.Talk to our academic expert!
Similar Questions
If A and B are two skew-symmetric matrices of order n, then
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