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Byju's Answer
Standard XII
Mathematics
Addition and Subtraction of a Matrix
If A=0 #160...
Question
If
A
=
0
2
3
-
4
and
k
A
=
0
3
a
2
b
24
, then the values of k, a, b, are respectively
(a) −6, −12, −18
(b) −6, 4, 9
(c) −6, −4, −9
(d) −6, 12, 18
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Solution
(c) −6, −4, −9
Given
:
A
=
0
2
3
-
4
Here
,
k
A
=
0
3
a
2
b
24
⇒
k
0
2
3
-
4
=
0
3
a
2
b
24
⇒
0
2
k
3
k
-
4
k
=
0
3
a
2
b
24
The
corresponding
elements
of
two
equal
matrices
are
equal
.
⇒
2
k
=
3
a
,
3
k
=
2
b
and
-
4
k
=
24
Now
,
-
4
k
=
24
⇒
k
=
-
6
Also
,
2
k
=
3
a
and
3
k
=
2
b
⇒
2
-
6
=
3
a
and
3
-
6
=
2
b
Using
k
=
-
6
⇒
-
12
=
3
a
and
-
18
=
2
b
∴
a
=
-
4
and
b
=
-
9
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0
Similar questions
Q.
If
A
=
0
2
3
-
4
and
k
A
=
0
3
a
2
b
24
, then the values of k, a, b, are respectively
(a) −6, −12, −18
(b) −6, 4, 9
(c) −6, −4, −9
(d) −6, 12, 18
Q.
9
arithmetic means and
9
harmonic means are inserted between
2
and
3
alternatively. If
A
6
and
H
6
is the sixth AM and HM respectively, then the value of
A
6
+
2
H
6
is
Q.
If
(
2
x
+
3
x
2
)
6
=
a
0
+
a
1
x
+
a
2
x
2
+
.
.
.
.
.
+
a
12
x
12
, then values of
a
0
and
a
6
are
Q.
If
A
n
=
cos
n
θ
+
sin
n
θ
,
n
∈
N
and
θ
∈
R
Then, the value of
⎛
⎜ ⎜ ⎜
⎝
A
6
+
A
4
−
3
4
A
6
−
A
4
+
1
4
⎞
⎟ ⎟ ⎟
⎠
is equal to
Q.
A triangle
A
B
C
where
A
(
−
2
,
3
)
,
B
(
4
,
−
4
)
C
(
6
,
−
7
)
is reflected in the x- axis onto
△
A
′
B
′
C
′
and then is reflected in the origin onto
△
A
"
B
"
C
"
.Write down the co-ordinates of (i)
A
′
,
B
′
,
C
′
and (ii)
A
"
,
B
"
,
C
"
.
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