The matrix A = \left[\begin{array}{cccc}a & 0 & 3 & 7 \ 2 & 5 & 1 & 3 \ 0 & 0 & 2 & 4 \ 0 & 0 & 0 & b \ ]\end{array} has \det(A) = 100 and trace(A) = 14. The value of |.a−b|. is ________.

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

Question : 39 of 65

Marks: +1, -0

The matrix

A = {[\table a , 0 , 3 , 7 ; 2 , 5 , 1 , 3 ; 0 , 0 , 2 , 4 ; 0 , 0 , 0 , b ; ]}

has

det(A) = 100

and

trace(A) = 14

.
The value of

|.a−b|.

is ________.

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