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Question
Mathematics
If A and B are square matrices of order 3× 3, then which of the following is true?
Q. If A and B are square matrices of order
3
×
3
,
then which of the following is true?
2156
178
Rajasthan PET
Rajasthan PET 2009
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A
A
B
=
0
⇒
A
=
O
or
B
=
O
B
d
e
t
(
2
A
B
)
=
8
(
d
e
t
A
)
(
d
e
tB
)
C
A
2
−
E
2
=
(
A
+
B
)
(
A
−
B
)
D
d
e
t
(
A
+
B
)
=
d
e
t
(
A
)
+
d
e
t
(
B
)
Solution:
det (2AB) = 23 det[A] det[B] = 8 det[A] det[B]