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Engineering Maths · Q62

Linear Algebra

Engineering and GATE · Engineering Maths · question 62

Q62

Let A be n × n real valued square symmetric matrix of rank 2 with \[ _ i = 1^ n _ j = 1^ n A_ ij^2 = 50.\] Consider the following statements. I. One eigen value must be in [-5, 5] II. The eigen value with the largest magnitude must be strictly greater than 5. Which of the above statements about eigen values of A is/are necessarily CORRECT?

Let A be n × n real valued square symmetric matrix of rank 2 with    Consider the following statements.
I. One eigen value must be in [-5, 5]
II. The eigen value with the largest magnitude must be strictly greater than 5.
Which of the above statements about eigen values of A is/are necessarily CORRECT?
A.
Both I and II
B.
I only
Answer
C.
II only
D.
Neither I nor II

Answer: Option B

Solution

Answer: Option B
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