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Matrices & Systems · Medium problem

A simple cipher encodes a pair of letter-codes (x,y)(x,y) (each 00-2525) as K(xy) mod 26K\begin{pmatrix}x\\y\end{pmatrix} \bmod 26, using the key K=(3257)K = \begin{pmatrix}3 & 2\\5 & 7\end{pmatrix}. Encode the pair T, E, that is (x,y)=(19,4)(x,y) = (19, 4) (T is the 2020th letter, code 1919; E is the 55th, code 44). Give the SECOND encoded value (after reducing mod 2626).