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Standard XII
Mathematics
Question
Let
B
=
A
3
−
2
A
2
+
3
A
−
I
where
I
is a unit matrix and
A
=
⎡
⎢
⎣
1
3
2
2
0
3
1
−
1
1
⎤
⎥
⎦
then the transpose of matrix
B
is equal to
⎡
⎢
⎣
8
14
7
21
1
−
7
12
21
8
⎤
⎥
⎦
⎡
⎢
⎣
2
21
14
14
1
21
7
−
7
8
⎤
⎥
⎦
⎡
⎢
⎣
1
0
0
0
1
0
0
0
1
⎤
⎥
⎦
⎡
⎢
⎣
3
1
0
1
1
0
3
1
0
⎤
⎥
⎦
A
⎡
⎢
⎣
2
21
14
14
1
21
7
−
7
8
⎤
⎥
⎦
B
⎡
⎢
⎣
8
14
7
21
1
−
7
12
21
8
⎤
⎥
⎦
C
⎡
⎢
⎣
1
0
0
0
1
0
0
0
1
⎤
⎥
⎦
D
⎡
⎢
⎣
3
1
0
1
1
0
3
1
0
⎤
⎥
⎦
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Solution
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4
Similar Questions
Q1
Compute
A
2
−
2
A
2
+
3
A
−
I
Where I is unit matrix . and A =
⎡
⎢
⎣
1
3
2
2
0
3
1
−
1
1
⎤
⎥
⎦
View Solution
Q2
Let
A
be a
3
×
3
matrix and
A
T
be transpose matrix of
A
.
If
A
=
3
A
T
−
4
I
,
where
I
is identity matrix of order
3
,
then
det
(
A
)
is equal to
View Solution
Q3
Let
I
=
⎡
⎢
⎣
1
0
0
0
1
0
0
0
1
⎤
⎥
⎦
and
P
=
⎡
⎢
⎣
1
0
0
0
−
1
0
0
0
−
2
⎤
⎥
⎦
Then the matrix
P
3
+
2
P
2
is equal to
View Solution
Q4
For two
3
×
3
matrices
A
and
B
,
let
A
+
B
=
2
B
′
and
3
A
+
2
B
=
I
3
,
where
B
′
is the transpose of
B
and
I
3
is
3
×
3
identity matrix. Then :
View Solution
Q5
For two
3
×
3
matrices
A
and
B
, let
A
+
B
=
2
B
′
and
3
A
+
2
B
=
I
3
, where
B
′
is the transpose of B and
I
3
is
3
×
3
identify matrix. Then :
View Solution