GATE Electronics and Communications (EC) 2014 Shift 1 Solved Paper

Question : 39 of 65

Marks: +1, -0

Consider the matrix

J_{6} = {[\table 0 , 0 , 0 , 0 , 0 , 1 ; 0 , 0 , 0 , 0 , 1 , 0 ; 0 , 0 , 0 , 1 , 0 , 0 ; 0 , 0 , 1 , 0 , 0 , 0 ; 0 , 1 , 0 , 0 , 0 , 0 ; 1 , 0 , 0 , 0 , 0 , 0 ; ]}

Which is obtained by reversing the order of columns of the Identity matrix I₆.
Let P = I₆ + α J₆, where α is a non-negative real number. The value of α for which det (P) = 0 is _________.

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