Let h=2π−x. Then cosx=sinh and π−2x=2h. So x→π/2limπ−2xkcosx=h→0lim2hksinh=2k. For continuity: 2k=3, so k=6.
Let A be a square matrix. Then, (A) A + A^T is a symmetric matrix (B) A - A^T is a skew-symmetric matrix (C) AA^T is a skew-symmetric matrix (D) A^T…
CUET UG 2023 — Mathematics Applied-Mathematics
Let A be a square matrix. Then,
(A) A+AT is a symmetric matrix
(B) A−AT is a skew-symmetric matrix
(C) AAT is a skew-symmetric matrix
(D) ATA is a symmetric matrix
Choose the correct answer from the options given below :
Held on 30 May 2023 · Verified 13 Jul 2026.
Options
- A
(A), (B) Only
- B
(B), (C), (D) Only
- C
(A), (C), (D) Only
- D
(A), (B), (D) Only
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