IPMAT IndoreModern Math > Hard245\frac{2}{45}452145\frac{1}{45}451415\frac{4}{15}154115\frac{1}{15}151✅ Correct Option: 1Related questions:IPMAT Indore 2026If A=[1101]A = \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}A=[1011], then the determinant of A+A2+A3+⋯+A13A + A^2 + A^3 + \cdots + A^{13}A+A2+A3+⋯+A13 isIPMAT Indore 2019If a 3×33 \times 33×3 matrix is filled with +1's and -1's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant isIPMAT Indore 2022If A=[100001010]A=\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0\end{array}\right]A=100001010, then the absolute value of the determinant of (A9+A6+A3+A)\left(A^{9}+A^{6}+A^{3}+A\right)(A9+A6+A3+A) is __________.