What are the eigenvalues of the matrix P given below:a)a, a- andradic;2, a + andradic;2b)a, a, ac)0, a, 2ad)-a, 2a, 2aCorrect answer is option 'A'. Can you explain this answer?

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What are the eigenvalues of the matrix P given below:

a)
a, a- √2, a + √2
b)
a, a, a
c)
0, a, 2a
d)
-a, 2a, 2a

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

What are the eigenvalues of the matrix P given below:a)a, a- √2,...

Since P is a square matrix
Sum (eigen values) = Trace (P)
= a + a + a = 3a
Product of eigen values

Only choice (a) has sum of eigen values = 3a and product of eigen values = a³ - 2a.

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What are the eigenvalues of the matrix P given below:a)a, a- √2, a + √2b)a, a, ac)0, a, 2ad)-a, 2a, 2aCorrect answer is option 'A'. Can you explain this answer?

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