If you are familiar with 2 2 matrices, prove that the coefficient matrices of (1) and (4) are inverses of each other, provided that d bc 1, and that the composition of LFTs corresponds to the multiplication of the coefficient matrices

Question: If you are familiar with 2 2 matrices, prove that the coefficient matrices of (1) and (4) are inverses of each other, provided that

If you are familiar with 2 × 2 matrices, prove that the coefficient matrices of (1) and (4) are inverses of each other, provided that αd - bc = 1, and that the composition of LFTs corresponds to the multiplication of the coefficient matrices.

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We can see that the 2 2 matrices in 1 and 4 are as below Since they are both 2 2 the... View full answer

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