If A=⎡⎢⎣111011001⎤⎥⎦ and M=A+A2+A3+.....+A20, then the sum – InterviewSolution

1.	If A=⎡⎢⎣111011001⎤⎥⎦ and M=A+A2+A3+.....+A20, then the sum of all the elements of the matrix M is equal to
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 0 & 1 & 1 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $M = A + A^{2} + A^{3} + . . . . . + A^{20}$ , then the sum of all the elements of the matrix $M$ is equal to

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