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Byju's Answer
Standard XII
Mathematics
Equal Vectors
If A=[ 2 3 ...
Question
If
A
=
⎡
⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
2
3
1
3
7
3
1
2
3
2
5
3
4
3
2
3
⎤
⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
and
B
=
⎡
⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
2
5
1
5
7
5
3
5
2
5
6
5
1
4
5
2
5
⎤
⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
, then compute
3
A
−
5
B
.
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Solution
3
A
−
5
B
=
3
⎡
⎢ ⎢ ⎢
⎣
2
3
1
3
7
3
1
2
3
2
5
3
4
3
2
3
⎤
⎥ ⎥ ⎥
⎦
−
5
⎡
⎢ ⎢ ⎢
⎣
2
5
1
5
7
5
3
5
2
5
6
5
1
4
5
2
5
⎤
⎥ ⎥ ⎥
⎦
=
⎡
⎢
⎣
2
1
7
3
2
6
5
4
2
⎤
⎥
⎦
−
⎡
⎢
⎣
2
1
7
3
2
6
5
4
2
⎤
⎥
⎦
=
⎡
⎢
⎣
0
0
0
0
0
0
0
0
0
⎤
⎥
⎦
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1
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