If A= bmatrix 1&0&1 0&1&1 0&0&1 bmatrix and M = A + A^2 + A^3 + .... + A^ 20 then the sum of all the elements...

Question

If A= bmatrix 1&0&1 0&1&1 0&0&1 bmatrix and M = A + A^2 + A^3 + .... + A^ 20 then the sum of all the elements of the matrix M is equal to_____.

Accepted Answer

2020

JEE Main 2021 Mathematics question