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Exercício de Mensagem através de Matrizes

por Marcelo Manini Pesse (UEL-PR) Difícil Sunday, May 22nd, 2011

Exercício:

Uma das formas de se enviar uma mensagem secreta é por meio de codigos matematicos,seguindo os passos:

1)Tanto o destinatário quanto o remetente possuem uma matriz chave C.

2)O destinatário recebe do remetente uma matrizP, tal que MC=P, onde M é a matriz mensagem a ser decodificada

3)Cada numero da matriz M corresponde a uma letra do alfabeto: 1=a 2=b 3=c…..23=z.

4)considerando o alfabeto com 23 letras, excluindo as letra k,w e y

5) o numero 0 corresponde ao ponto de exclamação

6)A mensagem é lida , encontrando a matriz M, fazendo a correspondência número/letra e ordenando as letras por linhaz da matriz conforme segue: m11m12m13m21m22 m23m31m32m33.

Considere as matrizes C= 1  1  0  e P=  2   -10    1

                                     0  -1  0          18  38   17

                                     0   2   1         19   14    0

Quual a mensagem que foi enviada por meio da matriz M?

Informações Adicionais:

Tenho que entregar essa lista de exercicios sexta feira XD! Já sei que o calculo começa em M=PC-1

certo? mas eu não consigo achar a inversa de C, esse é o meu problema…. ajuda aí gente!!!


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