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Byju's Answer
Standard XII
Mathematics
Null Matrix
If A=[ ...
Question
If
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
, then
A
2
=
A
Unit matrix
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B
Null matrix
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C
A
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D
-A
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Solution
The correct option is
A
Unit matrix
A
2
=
A
.
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
=
⎡
⎢
⎣
1
0
0
0
1
0
0
0
−
1
⎤
⎥
⎦
=
I
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0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
, then
A
2
=
Q.
If
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
, then
A
2
is equal to
Q.
I
f
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
,
t
h
e
n
f
o
r
n
ϵ
N
,
A
n
=
Q.
If
A
=
⎡
⎢
⎣
1
0
0
0
1
0
a
b
−
1
⎤
⎥
⎦
, then
A
2
=
Q.
For a invertible matrix
A
if
A
(
a
d
j
A
)
=
[
10
0
0
10
]
, then
|
A
|
=
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