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Matrices: JEE Mains 2022 June 29 Shift 1

Medium· Operations on matrices· +4 / −1

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

A^2+A^3+\dots+A^{10}

is equal to :

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