Algebra

Step 1: Analyze series P.
So the series becomes: The term diverges (infinite sum of ones). Therefore, P is a divergent series.
Step 2: Analyze series Q.
So each term tends to , not . Wait carefully — but note: For convergence of , we require . Here, , so the series diverges. Correction: Actually, Q is divergent. So final: (D) Both P and Q are divergent. Final Answer:

Step 1: Check statement X.
We know that the inverse of the inverse of a matrix is the matrix itself: So X is TRUE.
Step 2: Check statement Y.
If , then is skew-symmetric, not symmetric. So Y is FALSE. Final Answer: