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Byju's Answer
Standard XIII
Mathematics
Adjoint of a Matrix
If A=[ 0 c -b...
Question
If
A
=
⎡
⎢
⎣
0
c
−
b
−
c
0
a
b
−
a
0
⎤
⎥
⎦
and
B
=
⎡
⎢
⎣
a
2
a
b
a
c
a
b
b
2
b
c
a
c
b
c
c
2
⎤
⎥
⎦
, then
A
B
=
A
B
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B
I
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C
O
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D
A
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Solution
The correct option is
C
O
A
B
=
⎡
⎢
⎣
0
c
−
b
−
c
0
a
b
−
a
0
⎤
⎥
⎦
⎡
⎢
⎣
a
2
a
b
a
c
a
b
b
2
b
c
a
c
b
c
c
2
⎤
⎥
⎦
=
⎡
⎢
⎣
a
b
c
−
a
b
c
b
2
c
−
b
2
c
b
c
2
−
b
c
2
−
a
2
c
+
a
2
c
−
a
b
c
+
a
b
c
−
a
c
2
+
a
c
2
a
2
b
−
a
2
b
a
b
2
−
a
b
2
a
b
c
−
a
b
c
⎤
⎥
⎦
=
O
Suggest Corrections
6
Similar questions
Q.
If
A
=
⎡
⎢
⎣
0
c
−
b
−
c
0
a
b
−
a
0
⎤
⎥
⎦
and
B
=
⎡
⎢
⎣
a
2
a
b
a
c
a
b
b
2
b
c
a
c
b
c
c
2
⎤
⎥
⎦
, then
A
B
=
Q.
If
A
=
⎡
⎢
⎣
0
c
−
b
−
c
0
a
b
−
a
0
⎤
⎥
⎦
,
B
=
⎡
⎢
⎣
a
2
a
b
a
c
b
a
b
2
b
c
c
a
c
b
c
2
⎤
⎥
⎦
then
A
B
=
Q.
If
A
=
⎡
⎢
⎣
0
c
−
b
−
c
0
a
b
−
a
0
⎤
⎥
⎦
and
B
=
⎡
⎢
⎣
a
2
a
b
a
c
b
a
b
2
b
c
c
a
c
b
c
2
⎤
⎥
⎦
then
A
B
is equal to
Q.
If A and B are matrices given below :
A =
⎡
⎢
⎣
0
c
−
b
−
c
o
a
b
−
a
0
⎤
⎥
⎦
and B =
⎡
⎢
⎣
a
2
a
b
a
c
a
b
b
2
b
c
a
c
b
c
c
2
⎤
⎥
⎦
then AB is a unit matrix . Is this statement true?
Q.
If
A
=
⎡
⎢
⎣
a
2
a
b
a
c
a
b
b
2
b
c
a
c
b
c
c
2
⎤
⎥
⎦
and
a
2
+
b
2
+
c
2
=
1
then
A
2
=
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Adjoint of a Matrix
Standard XIII Mathematics
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