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Class 12
Math
Algebra
Determinants
513
150
Using properties of determinants, prove the following
∣
∣
∣
∣
∣
∣
∣
3
a
a
−
b
a
−
c
−
a
+
b
3
b
b
−
c
−
a
+
c
c
−
a
3
c
∣
∣
∣
∣
∣
∣
∣
=
3
(
a
+
b
+
c
)
(
a
b
+
b
c
+
c
a
)
513
150
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Similar topics
determinants
matrices
binomial theorem
permutations and combinations
complex numbers and quadratic equations
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Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
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Get answers to your doubts.
View Similar topics ->
determinants
matrices
binomial theorem
permutations and combinations
complex numbers and quadratic equations
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Related Questions
If
A
=
[
2
5
3
−
2
]
, write
A
−
1
in terms of A.
The multiplication inverse of
A
=
[
cos
θ
sin
θ
−
sin
θ
cos
θ
]
is
If
⎣
⎢
⎡
1
1
1
3
4
3
3
4
4
⎦
⎥
⎤
⎣
⎢
⎡
x
y
z
⎦
⎥
⎤
=
⎣
⎢
⎡
1
2
1
5
1
3
⎦
⎥
⎤
then the values of
x
,
y
,
z
respectively are
If
A
=
⎣
⎢
⎡
2
3
1
−
3
2
1
5
−
4
−
2
⎦
⎥
⎤
, find
A
−
1
. Using
A
−
1
solve the system of equations
2
x
−
3
y
+
5
z
=
1
1
3
x
+
2
y
−
4
z
=
5
x
+
y
−
2
z
=
3
If A is a non singular matrix then which of the following is not true:
If A=
∣
∣
∣
∣
∣
5
4
−
3
2
∣
∣
∣
∣
∣
then find
A
A
−
1
The reciprocal matrix of
⎣
⎢
⎡
1
0
1
0
1
2
2
−
1
1
⎦
⎥
⎤
is
Let A be a square matrix all of whose entries are integers. Then which one of the following is true?
Related Questions
If
A
=
[
2
5
3
−
2
]
, write
A
−
1
in terms of A.
The multiplication inverse of
A
=
[
cos
θ
sin
θ
−
sin
θ
cos
θ
]
is
If
⎣
⎢
⎡
1
1
1
3
4
3
3
4
4
⎦
⎥
⎤
⎣
⎢
⎡
x
y
z
⎦
⎥
⎤
=
⎣
⎢
⎡
1
2
1
5
1
3
⎦
⎥
⎤
then the values of
x
,
y
,
z
respectively are
If
A
=
⎣
⎢
⎡
2
3
1
−
3
2
1
5
−
4
−
2
⎦
⎥
⎤
, find
A
−
1
. Using
A
−
1
solve the system of equations
2
x
−
3
y
+
5
z
=
1
1
3
x
+
2
y
−
4
z
=
5
x
+
y
−
2
z
=
3
If A is a non singular matrix then which of the following is not true:
If A=
∣
∣
∣
∣
∣
5
4
−
3
2
∣
∣
∣
∣
∣
then find
A
A
−
1
The reciprocal matrix of
⎣
⎢
⎡
1
0
1
0
1
2
2
−
1
1
⎦
⎥
⎤
is
Let A be a square matrix all of whose entries are integers. Then which one of the following is true?
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