If the matrix Ais both symmetric and skew symmetric, then A Ais a diagonal matrix B Ais a - Maths - Matrices

Question

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

Gopal Mohanty · Accepted Answer

Answer: B
If A is both symmetric
and skew-symmetric matrix, then we should have
<img src=
"https://img-nm%20mnimgs%20com/img/study_content/curr/1/12/15/232/6400/Chapter%203_html_m10617b9b%20gif"
name="Object389" align="absmiddle" width="127" height="115">
Therefore, A is a zero
matrix

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

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