Whats the general representation for above figure?
a) a+b = b+a
b) ab =ba
c) a-b =b-a
d) None of these
Answers
Answered by
0
Answer:
If A and B are symmetric matrices and AB = BA , then A^-1B is a
Answered by
0
Answer:
b) ab=ba
Step-by-step explanation:
We have AB=BA=B
′
A
′
=(AB)
′
⇒AB is symmetric.
Also, ABA
−1
=BAA
−1
=B(∵AB=BA)
⇒A
−1
ABA
−1
=A
−1
B⇒BA
−1
=A
−1
B
Therefore, (A
−1
B)
′
=(BA
−1
)=(A
−1
)
′
B
′
=A
′
B [∵A
−1
and B are symmetric ]
Thus, the matrix A
−1
B is symmetric.
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