1.Let the matrix A=(100011001)A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{pmatrix}A=100010011 satisfy An=An−2+A2−IA^n = A^{n-2} + A^2 - IAn=An−2+A2−I for n>3n > 3n>3. Then the sum of all the elements of A50A^{50}A50 is:a.535353b.525252c.393939d.444444Login to continueOnly logged in users canattempt or see the solution.