Determinants Matrices Question 139
Question: If A and B are symmetric matrices of the same order and X = AB + BA and Y = AB - BA, then $ {{(XY)}^{T}} $ is equal to
Options:
A) XY
B) YX
C) -YX
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] Given that $ X=AB+BA $
$ \Rightarrow X=X^{T} $ and $ Y=AB-BA\Rightarrow Y=-Y^{T} $ Now $ {{(XY)}^{T}}=Y^{T}X^{T}=-YX $
BETA
