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Buktikan bahwa a ⋅ b bersifat komutatif!

Buktikan bahwa  bersifat komutatif!

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

terbukti bahwa atau bersifat komutatif.

terbukti bahwa a with rightwards arrow on top times b with rightwards arrow on top equals b with rightwards arrow on top times a with rightwards arrow on top atau bersifat komutatif.

Pembahasan

Misalkan dan . Jadi terbukti bahwa atau bersifat komutatif.

Misalkan a with rightwards arrow on top equals open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses dan b with rightwards arrow on top equals open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses.


table attributes columnalign right center left columnspacing 0px end attributes row cell a with rightwards arrow on top times b with rightwards arrow on top end cell equals cell open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses times open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses end cell row blank equals cell straight a subscript 1 times straight b subscript 1 plus straight a subscript 2 times straight b subscript 2 plus straight a subscript 3 times straight b subscript 3 space space space space left parenthesis definisi right parenthesis end cell row blank equals cell straight b subscript 1 times straight a subscript 1 plus straight b subscript 2 times straight a subscript 2 plus straight b subscript 3 times straight a subscript 3 space space space space left parenthesis sifat space komutatif space perkalian right parenthesis end cell row blank equals cell open parentheses table row cell straight b subscript 1 end cell row cell straight b subscript 2 end cell row cell straight b subscript 3 end cell end table close parentheses times open parentheses table row cell straight a subscript 1 end cell row cell straight a subscript 2 end cell row cell straight a subscript 3 end cell end table close parentheses end cell row blank equals cell straight b with rightwards arrow on top times straight a with rightwards arrow on top end cell end table


Jadi terbukti bahwa a with rightwards arrow on top times b with rightwards arrow on top equals b with rightwards arrow on top times a with rightwards arrow on top atau bersifat komutatif.

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