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2 votes

It can easily be solved using the property of Eigen Values :

1. The sum of the Eigen Values of a Matrix is equal to the Trace of the Matrix(Trace of the matrix is the sum of its leading diagonal).

2. The Product of the Eigen Values is Equal to the Determinant of matrix .

Here Determinant of Matrix is -5 so by using property 2 option A and D eliminated.

now by using property 1 option C eliminated so option B is the answer.

 

 

1 votes
1 votes

After solving the quadratic equation we will get eigen value 5 and -1. 

Answer:

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