A matrix has eigenvalues -1 and -2. The corresponding eigenvectors are \left[\begin{array}{c}1 \ \text{ −1} \ ]\end{array} and \left[\begin{array}{c}1 \ \text{ −2} \ ]\end{array} respectively. The matrix is

Correct Answer is : [01 −2−3]

\left[\begin{array}{ccc}1 & & 1 \ \text{ −1} & & −2 \ ]\end{array}

\left[\begin{array}{ccc}1 & & 2 \ \text{ −2} & & −4 \ ]\end{array}

\left[\begin{array}{ccc}−1 & & 0 \ \text{ 0} & & −2 \ ]\end{array}

\left[\begin{array}{ccc}0 & & 1 \ \text{ −2} & & −3 \ ]\end{array}

GATE Electrical Engineering (EE) 2013 Solved Paper

Question : 45 of 65

Marks: +1, -0

A matrix has eigenvalues -1 and -2. The corresponding eigenvectors are

{[\table 1 ; \text" −1" ; ]}

and

{[\table 1 ; \text" −2" ; ]}

respectively. The matrix is

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