Fun with Matrix

Algebra Level 4

Let A=[2301]A = \begin{bmatrix}{2} & {3} \\ {0} & {1}\end{bmatrix} . If A202A19+A=[2b00]A^{20} - 2A^{19} + A = \begin{bmatrix}{2} & {b} \\ {0} & {0}\end{bmatrix} , find the value of bb.

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