1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Adjoint of a Matrix
If A=[ 1 0 ...
Question
If
A
=
⎡
⎢
⎣
1
0
1
0
2
3
1
2
1
⎤
⎥
⎦
and
B
=
⎡
⎢
⎣
1
2
3
1
1
5
2
4
7
⎤
⎥
⎦
then, find a matrix
X
such that
X
A
=
B
.
Open in App
Solution
X
A
=
B
X
A
A
−
1
=
B
A
−
1
X
=
B
A
−
1
A
−
1
=
A
d
(
j
)
(
A
)
|
A
|
|
A
|
=
1
[
2
−
6
]
+
0
+
1
[
−
2
]
=
−
4
−
2
=
−
6
A
d
j
=
⎡
⎢
⎣
+
C
11
−
C
21
C
31
−
C
12
C
22
−
C
32
C
13
−
C
23
C
33
⎤
⎥
⎦
=
⎡
⎢
⎣
−
4
2
−
2
3
0
−
3
−
2
−
2
2
⎤
⎥
⎦
X
=
⎡
⎢
⎣
1
2
3
1
1
5
2
4
7
⎤
⎥
⎦
⎡
⎢
⎣
−
4
2
−
2
3
0
−
3
−
2
−
2
2
⎤
⎥
⎦
X
=
⎡
⎢
⎣
−
4
+
6
−
6
2
+
0
−
6
−
2
−
6
+
6
−
4
+
3
−
10
2
+
0
−
10
−
2
−
3
+
10
−
3
+
12
−
14
4
−
14
−
4
−
12
+
14
⎤
⎥
⎦
X
=
⎡
⎢
⎣
−
4
−
4
−
2
−
11
−
8
5
−
10
−
10
−
2
⎤
⎥
⎦
Suggest Corrections
0
Similar questions
Q.
Given
A
=
[
3
6
−
2
−
8
]
and
B
=
[
2
16
]
, find the matrix
X
such that
X
A
=
B
.
Q.
(i) Find a matrix X such that 2A + B + X = O, where
A =
-
1
2
3
4
, B =
3
-
2
1
5
(ii) If A =
8
0
4
-
2
3
6
and B =
2
-
2
4
2
-
5
1
, then find the matrix X of order 3 × 2 such that 2A + 3X = 5B.
Q.
Given the matrices A and B as
A
=
[
1
−
1
4
−
1
]
and
B
=
[
1
−
1
2
−
2
]
. The two matrices X and Y are such that
X
A
=
B
and
A
Y
=
B
, then the matrix
3
(
X
+
Y
)
Q.
If
A
=
[
4
3
2
5
]
, find
x
and
y
such that
A
2
−
x
A
+
y
I
=
0
Q.
If
A
=
[
1
1
1
2
]
,
B
=
[
4
1
3
1
]
,
C
=
[
24
7
31
9
]
, then find matrix
′
X
′
such that
A
X
B
=
C
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Adjoint and Inverse of a Matrix
MATHEMATICS
Watch in App
Explore more
Adjoint of a Matrix
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app