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Byju's Answer
Standard XII
Mathematics
Direct Method of Validation
For any 2×2 s...
Question
For any
2
×
2
square matrix
A
, if
A
(
a
d
j
A
)
=
[
10
0
0
10
]
, then |A| is
A
10.00
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B
10.0
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C
10
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Solution
We know that, by property of adjoint and inverse of matrix
A
(
a
d
j
A
)
=
|
A
|
I
⋯
(
i
)
∴
[
10
0
0
10
]
=
10
[
1
0
0
1
]
Comparing with equation
(
i
)
, we get
|
A
|
=
10
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0
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Standard XII Mathematics
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