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Byju's Answer
Standard IX
Mathematics
Singular and Non Singular Matrices
Eigen values ...
Question
Eigen values of a real symmetric matrix are always
A
positive
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B
negative
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C
real
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D
complex
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Solution
The correct option is
C
real
Eigen values of a real symmetric matrix are always real.
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Similar questions
Q.
The Eigen values of a square symmetric matrix are always
Q.
The eigen values of a skew symmetric matrix are
Q.
The eigen values of a symmetric matrix are all
Q.
If
A
is square symmetric real values matrix of dimensions
2
n
, then the eigen values of
A
are
Q.
Consider a 3 x 3 real symmetric matrix S such that two of its eigen values are
a
≠
0
,
b
≠
0
with respective eigen vectors
⎡
⎢
⎣
x
1
x
2
x
3
⎤
⎥
⎦
,
⎡
⎢
⎣
y
1
y
2
y
3
⎤
⎥
⎦
. If
a
≠
b
then
x
1
y
1
+
x
2
y
2
+
x
3
y
3
equals
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