If A, Bare symmetric matrices of same order, then AB BAis a A Skew symmetric matrix B - Maths - Matrices

Question

If A ,
B are symmetric matrices of same order,
then AB −
BA is a
A Skew symmetric matrix
B Symmetric matrix
C Zero matrix
D Identity matrix

Gopal Mohanty · Accepted Answer

The correct answer is A
A and B
are symmetric matrices, therefore, we have:
<img src=
"https://img-nm%20mnimgs%20com/img/study_content/curr/1/12/15/232/6320/Chapter%203_html_10b057d5%20gif"
name="Object235" align="absmiddle" width="419" height="253">
Thus, (AB −
BA) is a skew-symmetric matrix

If A , B are symmetric matrices of same order, then AB − BA is a A. Skew symmetric matrix B. Symmetric matrix C. Zero matrix D. Identity matrix

If A , B are symmetric matrices of same order, then AB − BA is a

A. Skew symmetric matrix B. Symmetric matrix

C. Zero matrix D. Identity matrix