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Byju's Answer
Standard IX
Mathematics
Multiplication of Matrices
If A= [ -3 5...
Question
If A=
⎡
⎢
⎣
−
3
5
5
0
−
7
4
⎤
⎥
⎦
and B=
[
3
−
5
7
−
5
0
−
4
]
then find
A
+
B
T
A
0
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B
2
B
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C
2
A
T
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D
2
B
T
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Solution
The correct option is
B
0
Given,
B
=
[
3
−
5
7
−
5
0
−
4
]
=
>
B
T
=
⎡
⎢
⎣
3
−
5
−
5
0
7
−
4
⎤
⎥
⎦
And,
A
+
B
T
=
⎡
⎢
⎣
−
3
5
5
0
−
7
4
⎤
⎥
⎦
+
⎡
⎢
⎣
3
−
5
−
5
0
7
−
4
⎤
⎥
⎦
=
⎡
⎢
⎣
−
3
+
3
5
−
5
5
−
5
0
+
0
−
7
+
7
4
−
4
⎤
⎥
⎦
=
⎡
⎢
⎣
0
0
0
0
0
0
⎤
⎥
⎦
Suggest Corrections
0
Similar questions
Q.
If
A
=
⎡
⎢
⎣
−
3
5
5
0
−
7
4
⎤
⎥
⎦
and
B
=
[
3
−
5
7
−
5
0
−
4
]
, then find
A
+
B
T
Q.
Let
A
=
1
-
1
0
2
1
3
1
2
1
and
B
=
1
2
3
2
1
3
0
1
1
.
Find A
T
, B
T
and verify that
(i) (A + B)
T
= A
T
+ B
T
(ii) (AB)
T
= B
T
A
T
(iii) (2A)
T
= 2A
T
.
Q.
Let
A
=
2
-
3
-
7
5
and
B
=
1
0
2
-
4
, verify that
(i) (2A)
T
= 2A
T
(ii) (A + B)
T
= A
T
+ B
T
(iii) (A − B)
T
= A
T
− B
T
(iv) (AB)
T
= B
T
A
T
Q.
If tan θ =
4
3
, then (sinθ + cosθ) = ?
(a)
7
3
(b)
7
4
(c)
7
5
(d)
5
7