List of top Engineering Mathematics Questions on Linear Algebra asked in GATE MN

The characteristic polynomial of a third order matrix \( A \) is given by \[ f(x) = x^3 - 6x^2 + 11x - 6. \] If one of the eigenvalues of \( A \) is 1, then the sum of the other two eigenvalues is:
The rank of \(3 \times 3\) matrix \(A\) is 2. The determinant of the matrix is