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Engineering Mathematics
Properties I
The sum of th...
Question
The sum of the eigen values of the matrix given below is
⎡
⎢
⎣
1
2
3
1
5
1
3
1
1
⎤
⎥
⎦
A
5
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B
7
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C
9
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D
18
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Solution
The correct option is
B
7
Sum of eigen values
= Trace of the matrix
= Sum of diagonal elements
=
(
1
+
5
+
1
)
=
7
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3
Similar questions
Q.
The matrix
⎡
⎢
⎣
1
2
4
3
0
6
1
1
p
⎤
⎥
⎦
has one eigen value equal to 3. The sum of the other two eigen values is
Q.
For the matrix A satisfying the equation given below, the eigen values are
[
A
]
⎡
⎢
⎣
1
2
3
7
8
9
4
5
6
⎤
⎥
⎦
=
⎡
⎢
⎣
1
2
3
4
5
6
7
8
9
⎤
⎥
⎦
Q.
The sum of eigen value matrix (M) is When
[
M
]
=
⎡
⎢
⎣
215
650
795
655
150
835
485
355
550
⎤
⎥
⎦
Q.
The eigen values of the matrix given below are:
⎡
⎢
⎣
0
1
0
0
0
1
0
−
3
−
4
⎤
⎥
⎦
Q.
For a given matrix
A
=
⎡
⎢
⎣
2
−
2
3
−
2
−
1
6
1
2
0
⎤
⎥
⎦
, one of the eigen values is 3. The other two eigen values are.
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