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Singular and Non Singular Matrices

Which one of ...

Question

Which one of the following statements is true for all real symmetric matrices ?

A

All the eigen values are real

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B

All the eigen values are positive

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C

All the eigen values are distinct

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D

Sum of all the eigen values is zero

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Solution

The correct option is A All the eigen values are real
The eigen values of a real symmetric matrix are always real.

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