1.Let Jn,m=∫01/2xnxm−1 dxJ_{n,m} = \int\limits_{0}^{1/2} \dfrac{x^{n}}{x^{m} - 1}\,dxJn,m=0∫1/2xm−1xndx, for all n>mn > mn>m and n,m∈Nn, m \in \mathbb{N}n,m∈N. Consider a matrix A=[aij]3×3A = [a_{ij}]_{3 \times 3}A=[aij]3×3 whereaij={J6+i, 3−Ji+3, 3,i≤j0,i>ja_{ij} = \begin{cases} J_{6+i,\,3} - J_{i+3,\,3}, & i \le j \\ 0, & i > j \end{cases}aij={J6+i,3−Ji+3,3,0,i≤ji>jThen ∣adj(A−1)∣|\mathrm{adj}(A^{-1})|∣adj(A−1)∣ is:a.(15)2×234(15)^{2} \times 2^{34}(15)2×234b.(15)2×242(15)^{2} \times 2^{42}(15)2×242c.(105)2×236(105)^{2} \times 2^{36}(105)2×236d.(105)2×238(105)^{2} \times 2^{38}(105)2×238Login to continueOnly logged in users canattempt or see the solution.
