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Engineering Maths · Q54

Linear Algebra

Engineering and GATE · Engineering Maths · question 54

Q54

The two Eigen values of the matrix \[ [ array*20c 2&1 \\ 1& p array ]\] have a ratio of 3 : 1 for p = 2. What is another value of p for which the Eigen values have the same ratio of 3 : 1?

The two Eigen values of the matrix \left[ {\begin{array}{*{20}{c}} 2&1 \\ 1&{\text{p}} \end{array}} \right]  have a ratio of 3 : 1 for p = 2. What is another value of p for which the Eigen values have the same ratio of 3 : 1?
A.
-2
B.
1
C.
D.
Answer

Answer: Option D

Solution

Answer: Option D
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