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Engineering Maths · Q175

Linear Algebra

Engineering and GATE · Engineering Maths · question 175

Q175

The minimum and the maximum eigen values of the matrix \[ [ array*20c 1&1&3 \\ 1&5&1 \\ 3&1&1 array ]\] are -2 and 6, respectively. What is the other eigen value?

The minimum and the maximum eigen values of the matrix \left[ {\begin{array}{*{20}{c}} 1&1&3 \\ 1&5&1 \\ 3&1&1 \end{array}} \right]  are -2 and 6, respectively. What is the other eigen value?
A.
5
B.
3
Answer
C.
1
D.
-1

Answer: Option B

Solution

Answer: Option B
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