The value of x for which the matrix A = \left[\begin{array}{ccc}3 & 2 & 14 \ 9 & 7 & 13 \ −6 & −4 & −9 + x \ ]\end{array} has zero as an eigenvalue is ________

GATE Electronics and Communications (EC) 2016 Shift 2 Solved Paper

Question : 11 of 65

Marks: +1, -0

The value of x for which the matrix

A = {[\table 3 , 2 , 14 ; 9 , 7 , 13 ; −6 , −4 , −9 + x ; ]}

has zero as an eigenvalue is ________

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