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KEAM 2010 Math Paper
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© examsnet.com
Question : 93
Total: 120
Which one of the following is true always for any two non-singular matrices
A
and
B
of same order?
A
B
=
B
A
(
A
B
)
t
=
A
t
B
t
(
A
+
B
)
(
A
−
B
)
=
A
2
−
B
2
(
A
B
)
−
1
=
B
−
1
A
−
1
A
B
=
−
B
A
Validate
Solution:
Clearly,
(
A
B
)
−
1
=
B
−
1
A
−
1
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