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Byju's Answer
Standard XII
Mathematics
Inequalities Involving Mathematical Means
Write the cof...
Question
Write the cofactor of a
12
in the following matrix
2
-
3
5
6
0
4
1
5
-
7
.
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Solution
Given
:
2
-
3
5
6
0
4
1
5
-
7
Here
,
a
12
=
-
3
Cofactor
of
a
12
=
-
1
1
+
2
6
4
1
-
7
=
-
(
-
42
-
4
)
=
46
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0
Similar questions
Q.
If C
ij
is the cofactor of the element a
ij
of the matrix
A
=
2
-
3
5
6
0
4
1
5
-
7
, then write the value of a
32
C
32
.
Q.
If
⎡
⎢
⎣
cos
θ
−
sin
θ
0
sin
θ
cos
θ
0
0
0
1
⎤
⎥
⎦
then the value of
a
11
A
11
+
a
12
A
12
+
a
13
A
13
=
where
A
11
,
A
12
A
13
are cofactors of
a
11
,
a
12
,
a
13
respectively
Q.
A
=
{
8
9
10
11
}
, then cofactor of
a
12
is:
Q.
Write the element
a
12
of the matrix
A
=
[
a
i
j
]
2
×
2
, whose elements
a
i
j
are given by
a
i
j
=
e
2
i
x
sin
j
x
.
Q.
Consider the matrix
A
=
⎡
⎢
⎣
1
4
3
7
6
9
2
5
8
⎤
⎥
⎦
.
Then cofactor of element
9
in matrix
A
is
[2 marks]
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