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Byju's Answer
Standard XII
Mathematics
Singular and Non Singualar Matrices
If A = [ a ...
Question
If
A
=
⎡
⎢
⎣
a
0
0
0
a
0
0
0
a
⎤
⎥
⎦
, then the value of
|
a
d
j
A
|
is
a
k
.
What is k?
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Solution
A
=
⎡
⎢
⎣
a
0
0
0
a
0
0
0
a
⎤
⎥
⎦
a
d
j
A
=
⎡
⎢
⎣
a
2
0
0
0
a
2
0
0
0
a
2
⎤
⎥
⎦
|
a
d
j
A
|
=
a
2
(
(
a
2
)
(
a
2
)
−
0
)
=
a
6
∴
k
=
6
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0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
a
0
0
0
a
0
0
0
a
⎤
⎥
⎦
, then the value of
|
A
|
|
a
d
j
A
|
is
a
k
.
What is k?
Q.
If
A
=
⎡
⎢
⎣
a
0
0
0
a
0
0
0
a
⎤
⎥
⎦
, then the value of
|
A
|
|
a
d
j
A
|
is
Q.
If A =
⎡
⎢
⎣
a
0
0
0
a
0
0
0
a
⎤
⎥
⎦
, then
|
A
|
|
A
d
j
A
|
is equal to
Q.
For any integer
k
, If
a
k
=
cos
(
k
π
7
)
+
i
sin
(
k
π
7
)
, then value of the expression
12
∑
k
=
1
|
a
k
+
1
−
a
k
|
3
∑
k
=
1
|
a
4
k
−
1
−
a
4
k
−
2
|
is
Q.
For any integer
k
, if
a
k
=
cos
(
k
π
7
)
+
i
sin
(
k
π
7
)
, then value of the expression
12
∑
k
=
1
|
a
k
+
1
−
a
k
|
3
∑
k
=
1
|
a
4
k
−
1
−
a
4
k
−
2
|
is
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