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Byju's Answer
Standard XII
Mathematics
Consistency of Linear System of Equations
If A=[ 1 2 ...
Question
If
A
=
[
1
2
−
1
3
−
2
5
]
, apply
R
1
↔
R
2
and
C
1
→
C
1
+
2
C
3
on
A
.
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Solution
A
=
[
1
2
−
1
3
−
2
5
]
Applying
R
1
↔
R
2
, we get
A
=
[
3
−
2
5
1
2
−
1
]
Now applying
C
1
→
C
1
+
2
C
3
, we get
A
=
[
(
3
+
10
)
−
2
5
(
1
+
2
(
−
1
)
)
2
−
1
]
A
=
[
13
−
2
5
−
1
2
−
1
]
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0
Similar questions
Q.
If
A
=
[
1
0
2
2
3
4
]
, apply the transformation
C
1
→
C
1
+
2
C
3
.
Q.
If two circles with centers
C
1
a
n
d
C
1
a
n
d
r
a
d
i
i
r
1
a
n
d
r
2
intersect in two distinct points, then
Q.
Three circles
C
1
,
C
2
and
C
3
with radii
r
1
,
r
2
and
r
1
+
r
2
respectively are such that
C
1
and
C
2
touch each other externally and
C
3
internally. Another circle with radius
r
3
touches all the three circles. If
r
1
>
r
2
>
r
3
and
r
1
,
r
2
,
r
3
are in A.P. then
(
r
1
r
2
)
3
is
Q.
Apply the given elementary transformation on each of
the following matrices.
A
=
[
1
0
−
1
3
]
,
R
1
↔
R
2
Q.
S
1
=
m
c
1
+
(
m
+
1
)
C
2
+
(
m
+
2
)
C
3
+
…
.
+
(
m
+
n
−
1
)
C
n
S
2
=
n
c
1
+
(
n
+
1
)
C
2
+
(
n
+
2
)
C
3
+
…
.
+
(
m
+
n
−
1
)
C
n
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Standard XII Mathematics
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