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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!