Pertanyaan

Buktikan bahwa a ⋅ b bersifat komutatif!

Buktikan bahwa $a \cdot b$ bersifat komutatif!

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

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 .

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.