JEE Main 2022 (29 June Morning Shift)

Question

Let $A = [{a_{ij}}]$ be a square matrix of order 3 such that ${a_{ij}} = {2^{j - i}}$, for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ...... + A10 is equal to :

Accepted Answer

$ \left(\dfrac{3^{10} - 3}{2}\right)A $

Answer

$ \left(\dfrac{3^{10} - 1}{2}\right)A $

Answer

$ \left(\dfrac{3^{10} + 1}{2}\right)A $

Answer

$ \left(\dfrac{3^{10} + 3}{2}\right)A $

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