1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Other
Engineering Mathematics
Inverse of matrix
For a given m...
Question
For a given matrix
P
=
[
4
+
3
i
−
i
i
4
−
3
i
]
,
i
=
√
−
1
, the inverse of matrix P is
A
1
24
[
4
−
3
i
i
−
i
4
+
3
i
]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
1
25
[
i
4
−
3
i
4
+
3
i
−
i
]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
24
[
4
+
3
i
−
i
i
4
−
3
i
]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
25
[
4
+
3
i
−
i
i
4
−
3
i
]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
1
24
[
4
−
3
i
i
−
i
4
+
3
i
]
P
=
[
4
+
3
i
−
i
i
4
−
3
i
]
, i =
√
−
1
We know that,
[
a
b
c
d
]
−
1
=
1
(
a
d
−
b
c
)
[
d
−
b
−
c
a
]
So,
[
4
+
3
i
−
i
i
4
−
3
i
]
−
1
=
1
[
(
4
+
3
i
)
(
4
−
3
i
+
i
2
)
]
×
[
4
−
3
i
i
−
i
4
+
3
i
]
=
1
[
16
−
9
i
2
+
i
2
]
[
4
−
3
i
i
−
i
4
+
3
i
]
=
1
24
[
4
−
3
i
i
−
i
4
+
3
i
]
Option (a) is correct.
Suggest Corrections
0
Similar questions
Q.
Find the value of the following determinants, where
i
=
√
−
1
.
(i)
∣
∣
∣
2
i
−
3
i
i
3
−
2
i
5
∣
∣
∣
(ii)
∣
∣
∣
1
+
3
i
i
−
2
−
i
−
2
1
−
3
i
∣
∣
∣
Q.
If
∣
∣ ∣
∣
6
i
−
3
i
1
2
3
i
4
3
i
−
1
∣
∣ ∣
∣
=
x
+
i
y
Q.
If
∣
∣ ∣
∣
6
i
−
3
i
1
4
3
i
−
1
20
3
i
∣
∣ ∣
∣
=
x
+
i
y
then
Q.
I
f
∣
∣ ∣
∣
6
i
−
3
i
1
4
3
i
−
1
20
3
i
∣
∣ ∣
∣
=
x
+
y
i
then find the value of ( x, y)
Q.
Value of
∣
∣ ∣
∣
3
i
5
i
2
i
4
2
i
2
i
−
3
i
7
∣
∣ ∣
∣
is
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
Inverse of a Matrix
ENGINEERING MATHEMATICS
Watch in App
Explore more
Inverse of matrix
Other Engineering 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