Determinants Matrices Question 134
Question: If A is symmetric as well as skew-symmetric matrix, then A is
Options:
A) diagonal matrix
B) null matrix
C) triangular matrix
D) none of these
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] Let $ A=[a _{ij}] $
since A is skew-symmetric, we have $ a _{ij}=0 $ and $ a _{ij}=-a _{ij}(i\ne j) $ A is symmetric as well, so $ a _{ij}=a _{ij} $ for all i and j.
$ \therefore a _{ij}=0 $ For all $ i\ne j $ Hence, $ a _{ij}=0 $ for all i and j, i.e., A is a null matrix.
BETA
