List of top Engineering Mathematics Questions on Matrix Algebra asked in GATE EE

Consider a matrix \( A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 4 & -2 \\ 0 & 1 & 1 \end{bmatrix} \). 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
Consider a 3 x 3 matrix A whose \( (i, j) \)-th element, \( a_{i,j} = (i - j)^3 \). Then the matrix A will be