Let … be a square matrix of order 3 such that …, for all i, j = 1, 2, 3. Then, the matrix A² + A³ + ...... + A¹⁰ is equal to :

123days leftSign in

Matrices and Determinants

JEE Main 2022 · 29 Jun, Morning shift · Q4506

MathematicsHard244×since 2002Q4506

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

MathematicsHard244×since 2002Q4506

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 :