Fun with Matrix

Algebra Level 3

Let \(A = \begin{bmatrix}{2} && {3} \\ {0} && {1}\end{bmatrix} \). If \(A^{20} - 2A^{19} + A = \begin{bmatrix}{2} && {b} \\ {0} && {0}\end{bmatrix} \), find the value of \(b\).

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