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Pertanyaan

Diketahui matriks A = [ 2 1 ​ 1 2 ​ 2 1 ​ ] dan B = ⎣ ⎡ ​ 2 1 2 ​ 1 2 2 ​ 4 3 1 ​ ⎦ ⎤ ​ . Tentukan A ⋅ B .

Diketahui matriks  dan .

Tentukan .

  1. ... begin mathsize 14px style space space space space end style 

  2. ... begin mathsize 14px style space space space space end style 

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Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

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Pembahasan

Diketahui: . Akan ditentukan . Perhatikan perhitungan berikut:

Diketahui:

begin mathsize 14px style straight A equals open square brackets table row 2 1 2 row 1 2 1 end table close square brackets end style

begin mathsize 14px style straight B equals open square brackets table row 2 1 4 row 1 2 3 row 2 2 1 end table close square brackets end style.

Akan ditentukan begin mathsize 14px style straight A times straight B end style.

Perhatikan perhitungan berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell straight A times straight B end cell equals cell open square brackets table row 2 1 2 row 1 2 1 end table close square brackets times open square brackets table row 2 1 4 row 1 2 3 row 2 2 1 end table close square brackets end cell row blank equals cell open square brackets table row cell 2 cross times 2 plus 1 cross times 1 plus 2 cross times 2 end cell cell 2 cross times 1 plus 1 cross times 2 plus 2 cross times 2 end cell cell 2 cross times 4 plus 1 cross times 3 plus 2 cross times 1 end cell row cell 1 cross times 2 plus 2 cross times 1 plus 1 cross times 2 end cell cell 1 cross times 1 plus 2 cross times 2 plus 1 cross times 2 end cell cell 1 cross times 4 plus 2 cross times 3 plus 1 cross times 1 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 4 plus 1 plus 4 end cell cell 2 plus 2 plus 4 end cell cell 8 plus 3 plus 2 end cell row cell 2 plus 2 plus 2 end cell cell 1 plus 4 plus 2 end cell cell 4 plus 6 plus 1 end cell end table close square brackets end cell row blank equals cell open square brackets table row 9 8 13 row 8 7 11 end table close square brackets end cell end table end style 

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