1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Definition of a Determinant
x+4 2x 2x ...
Question
det
∣
∣ ∣
∣
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
∣
∣ ∣
∣
=
(
5
x
+
4
)
(
4
−
x
)
2
Open in App
Solution
det
∣
∣ ∣
∣
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
∣
∣ ∣
∣
=
(
x
+
4
)
det
(
x
+
4
2
x
2
x
x
+
4
)
−
2
x
det
(
2
x
2
x
2
x
x
+
4
)
+
2
x
det
(
2
x
x
+
4
2
x
2
x
)
det
(
x
+
4
2
x
2
x
x
+
4
)
=
−
3
x
2
+
8
x
+
16
det
(
2
x
2
x
2
x
x
+
4
)
=
−
2
x
2
+
8
x
det
(
2
x
x
+
4
2
x
2
x
)
=
2
x
2
−
8
x
=
(
x
+
4
)
(
−
3
x
2
+
8
x
+
16
)
−
2
x
(
−
2
x
2
+
8
x
)
+
2
x
(
2
x
2
−
8
x
)
=
5
x
3
−
36
x
2
+
48
x
+
64
=
5
x
3
−
40
x
2
+
4
x
2
+
80
x
−
32
x
+
64
=
(
5
x
+
4
)
(
16
+
x
2
−
8
x
)
=
(
5
x
+
4
)
(
4
−
x
)
2
Suggest Corrections
0
Similar questions
Q.
Prove
∣
∣ ∣
∣
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
∣
∣ ∣
∣
=
(
5
x
+
4
)
(
4
−
x
)
2
.
Q.
Show that
∣
∣ ∣
∣
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
∣
∣ ∣
∣
=
(
5
x
+
4
)
(
4
−
x
)
2
Q.
Using the properties of determinants, show that:
(i)
∣
∣ ∣
∣
x
+
4
2
x
2
x
2
x
x
+
4
2
x
2
x
2
x
x
+
4
∣
∣ ∣
∣
=
(
5
x
+
4
)
(
4
−
x
)
2
(ii)
∣
∣ ∣
∣
y
+
k
y
y
y
y
+
k
y
y
y
y
+
k
∣
∣ ∣
∣
=
k
2
(
3
y
+
k
)
Q.
If
∣
∣ ∣
∣
x
−
4
2
x
2
x
2
x
x
−
4
2
x
2
x
2
x
x
−
4
∣
∣ ∣
∣
=
(
A
+
B
x
)
(
x
−
A
)
2
Then the ordered pair (A,B) is equal to
Q.
If
∣
∣ ∣
∣
x
−
4
2
x
2
x
2
x
x
−
4
2
x
2
x
2
x
x
−
4
∣
∣ ∣
∣
=
(
A
+
B
x
)
(
x
−
A
)
2
, then the ordered pair
(
A
,
B
)
is equal to
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
Introduction
MATHEMATICS
Watch in App
Explore more
Definition of a Determinant
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