A real 2 × 2 non-singular matrix A with repeated eigenvalue is given as A = \left[\begin{array}{cc}x & −3.0 \ 3.0 & 4.0 \ ]\end{array} where x is a real positive number. The value of x (rounded off to one decimal place) is _______

GATE Electronics and Communications (EC) 2021 Solved Paper

Question : 46 of 65

Marks: +1, -0

A real 2 × 2 non-singular matrix A with repeated eigenvalue is given as

A = {[\table x , −3.0 ; 3.0 , 4.0 ; ]}

where x is a real positive number. The value of x (rounded off to one decimal place) is _______

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