The maximum value of “a” such that the matrix \left(\begin{array}{ccc}−3 & 0 & −2 \ 1 & −1 & 0 \ 0 & a & −2 \ )\end{array} has three linear independent real eigenvectors is

GATE Electrical Engineering (EE) 2015 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

The maximum value of “

a

” such that the matrix

{(\table −3 , 0 , −2 ; 1 , −1 , 0 ; 0 , a , −2 ; )}

has three linear independent real eigenvectors is

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