Symmetric and skew symmetric matrices
Last updated at May 26, 2023 by Teachoo
Since NCERT Books are changed, we are still changing the name of content in images and videos. It would take some time.
But, we assure you that the question is what you are searching for, and the content is the best -Teachoo Promise. If you have any feedback, please contact us.
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Misc 14 (Introduction) If the matrix A is both symmetric and skew symmetric, then A. A is a diagonal matrix B. A is a zero matrix C. A is a square matrix D. None of these Diagonal Matrix: Matrix with all non-diagonal elements zero. Eg: [■8(1&0&[email protected]&−2&[email protected]&0&4)] , [■8(−9&[email protected]&35)] Zero Matrix: Matrix with all elements zero Eg: [■8(0&0&[email protected]&0&[email protected]&0&0)] , [■8(0&[email protected]&0)] Square matrix Matrix with number of rows = Number of columns Eg: [■8(6&−2&2@−2&3&−[email protected]&−1&3)] , [■8(1&[email protected]&7)] Misc 14 If the matrix A is both symmetric and skew symmetric, then A. A is a diagonal matrix B. A is a zero matrix C. A is a square matrix D. None of these Since A is both symmetric and skew-symmetric matrix, A’ = A and A’ = –A Comparing both equations A = − A A + A = O 2A = O A = O Therefore, A is a zero matrix. So, B is the correct answer
