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Consider the Hill cipher in which the ciphertext C is related to the plaintext using the form

[C₁ C₂] = [P₁ P₂] [K₁ K₂] mod 26
[K₃ K₄]

The cryptanalyst observed the following plaintext/ciphertext pairs (P₁ P₂)/(C₁ C₂) (1 2)/(16 23) and (3 3)/(1 16). Determine the key corresponding to this system