Solve this following

Question:

If $\mathrm{A}$ is an $3 \times 3$ non-singular matrix such that $\mathrm{AA}^{\prime}=\mathrm{A}^{\prime} \mathrm{A}$ and $\mathrm{B}=\mathrm{A}^{-1} \mathrm{~A}^{\prime}$, the $\mathrm{BB}^{\prime}$ equals :

  1. $\mathrm{I}+\mathrm{B}$

  2. I

  3. $\mathrm{B}^{-1}$

  4. $\left(\mathrm{B}^{-1}\right)^{\prime}$


Correct Option: , 2

Solution:

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