Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Morning shift · Q4506

JEE Main 202229 Jun, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

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 :

JEE Main 2022 · 29 Jun, Morning shift · Q4506

JEE Main 202229 Jun, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

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 :

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