Question

Assertion :Determinant of a skew-symmetric matrix of order of $3$ zero. Reason: For any matrix $A$, $det\left(A^T\right)=det\left(A\right)$ and $det(-A)=-det\left(A\right)$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

for a skew symmetric matrix $A^T=-A⟹det\left(A^T\right)=det(-A)⟹det\left(A\right)=-det\left(A\right)⟹det\left(A\right)=0$