# Statement – 1: Determinant of a skew-symmetric matrix of order 3 is ero. Statement – 2 : For any matrix A, det (A)T= det (A) and det (– A) = – det (A). Where det (B) denotes the determinant of matrix B. Then :

Question:

Statement – 1:

Determinant of a skew-symmetric matrix of order 3 is zero.

Statement-2 :

For any matrix $A, \operatorname{det}(A)^{T}=\operatorname{det}(A)$ and $\operatorname{det}(-A)=-\operatorname{det}(A)$.

Where det (B) denotes the determinant of matrix B. Then :

1. Both statements are true

2. Both statements are false

3. Statement- 1 is false and statement-2 is true

4. Statement-1 is true and statement-2 is false

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year 2011 RS

Solution:

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