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Byju's Answer
Standard XII
Mathematics
Property 4
The sum of ei...
Question
The sum of eigen value matrix (M) is When
[
M
]
=
⎡
⎢
⎣
215
650
795
655
150
835
485
355
550
⎤
⎥
⎦
A
915
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B
1355
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C
1640
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D
2180
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Solution
The correct option is
A
915
Summation of eigen values is equal to trace of matrix.
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Similar questions
Q.
A 2 x 2 matrix M has eigen values 2 & 3 with eigen vectors
[
2
1
]
&
[
1
2
]
respectively. The sum of all elements of Matrix M is _______.
Q.
M is a
2
×
2
matrix with eigen values 2 and 5.The eigen values of
M
−
1
are
Q.
The sum of the eigen values of the matrix given below is
⎡
⎢
⎣
1
2
3
1
5
1
3
1
1
⎤
⎥
⎦
Q.
The matrix
M
=
⎡
⎢
⎣
−
2
2
−
3
2
1
6
−
1
−
2
0
⎤
⎥
⎦
has eigen values 3, -3, 5. An eigen vector corresponding to the eigen value 5 is
[
1
2
−
1
]
T
. One of the eigen vector of the matrix
M
3
is
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
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