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uh we also talk about another important canonical form representation that is the diagonal canonical form uh to demonstrate this procedure we again start with the same transfer function and we write rewrite this transfer function uh in in other formats now to obtain diagonal canonical form representation basically we have factorized this polynomial so that is s plus 2 S Plus 3 S Plus 4 we have factorized this denominator polynomial over here and next we obtain partial fraction expansion that is given over here so this transfer function is equal to this expression you already know the procedure to obtain this partial fraction expansion uh you can verify by adding all these terms that you finally again get the same transfer function so this transfer function is Rewritten in this particular format that is we had this transfer function we have re written it in this particular format uh U of S multiplied by this transfer function and U of S multiplied by this transfer function U of S multip