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Engineering Maths · Q34

Linear Algebra

Engineering and GATE · Engineering Maths · question 34

Q34

The value of x for which all the eigen-values of the matrix given below are real is \[ [ array*20c 10&5 + j&4 \\ x&20&2 \\ 4&2& - 10 array ]\]

The value of x for which all the eigen-values of the matrix given below are real is \left[ {\begin{array}{*{20}{c}} {10}&{5 + {\text{j}}}&4 \\ {\text{x}}&{20}&2 \\ 4&2&{ - 10} \end{array}} \right]
A.
5 + j
B.
5 - j
Answer
C.
1 - 5j
D.
1 + 5j

Answer: Option B

Solution

Answer: Option B
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