The two Eigen values of the matrix \left[\begin{array}{cc}2 & 1 \ 1 & p \ ]\end{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?

GATE Civil Engineering (CE) 2015 Shift 2 Solved Paper

Question : 38 of 65

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The two Eigen values of the matrix

{[\table 2 , 1 ; 1 , p ; ]}

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?

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