# Let A and B be any two 3 × 3 matrices. If A is symmetric and B is skewsymmetric, then the matrix AB – BA is:

Question:

Let $A$ and $B$ be any two $3 \times 3$ matrices. If $A$ is symmetric and $\bar{B}$ is skewsymmetric, then the matrix $A \bar{B}-\bar{B} A$ is:

1. skewsymmetric

2. symmetric

3. neither symmetric nor skewsymmetric

4. I or – I, where I is an identity matrix.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online April 19, 2014

Solution:

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