Descreva todas as foramas escalonadas reduzidas possíveis de

a e i m b f j n c g k p d h l q

Passo 1

Para problemas envolvendo o número de possibilidades de formas escalonadas reduzidas, podemos utilizar da equação:

P = 2 n

Sendo n o número de linhas da matriz.

Passo 2

Como essa matriz possui 3 linhas, o número de possibilidades dessa matriz é:

P = 2 4 = 16

Sendo elas:

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ,   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ,   0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 ,   0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 ,   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1

1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ,   0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 ,   0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ,   0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 ,   1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ,   1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 ,   0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

Resposta

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ,   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ,   0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 ,   0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 ,   0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1

1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 ,   1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ,   0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 ,   0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ,   0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 ,   1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ,   1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 ,   0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

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