Misc 1 - Chapter 3 Class 12 Matrices
Last updated at April 16, 2024 by Teachoo
Miscellaneous
Misc 2 Important
Misc 3 Important
Misc 4
Misc 5
Misc 6 Important
Misc 7 Important
Misc 8 Important
Misc 9 (MCQ)
Misc 10 (MCQ) Important
Misc 11 (MCQ) Important
Question 1 Important Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 Important Deleted for CBSE Board 2024 Exams
Question 4 Deleted for CBSE Board 2024 Exams
Last updated at April 16, 2024 by Teachoo
Misc 1 If A and B are symmetric matrices, prove that AB − BA is a skew symmetric matrix. Given A and B are symmetric matrices ∴ A’ = A and B’ = B Now, (AB – BA)’ = (AB)’ – (BA)’ = B’A’ – A’B’ = BA – AB = − (AB – BA) Since (AB – BA)’ = − (AB – BA) Thus, (AB − BA) is a skew-symmetric matrix. Hence proved