Consider a matrix A = \left[\begin{array}{ccc}1 & 0 & 0 \ \text{ 0} & 4 & −2 \ \text{ 0} & 1 & 1 \ ]\end{array} The matrix A satisfies the equation 6A -1 = A 2 + cA + dI, where c and d are scalars and I is the identity matrix. Then (c + d) is equal to

GATE Electrical Engineering (EE) 2022 Solved Paper

Question : 36 of 65

Marks: +1, -0

Consider a matrix

A = {[\table 1 , 0 , 0 ; \text" 0" , 4 , −2 ; \text" 0" , 1 , 1 ; ]}

The matrix A satisfies the equation 6A^-1 = A² + cA + dI, where c and d are scalars and I is the identity matrix. Then (c + d) is equal to

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