Published by:
CGP EDU Academic Team
Published on: August 12, 2026
For all x in (–1, 1), let A(x) be a matrix defined by
A(x) = 
then
A
A(x) A(y) = A(xy)
B
A(x) A(y) = A 
C
A(x) A(y) = A 
D
(A(x)) –1 = A(–x).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, d)
A(x) A(y)
= 
= 
= 
-
= 
= A 
⇒ choice is correct.
Since A(0) = I 2
Putting y = –x in correct choice , we get
A(x) A( –x) = A(0) = I 2 Whence follows
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