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Jika A[10​]=[24​] dan A[−12​]=[−5−6​], maka A[20​−56​]=...

Pertanyaan

Jika A open square brackets table row 1 row 0 end table close square brackets equals open square brackets table row 2 row 4 end table close square brackets dan A open square brackets table row cell negative 1 end cell row 2 end table close square brackets equals open square brackets table row cell negative 5 end cell row cell negative 6 end cell end table close square brackets, maka A open square brackets table row 2 cell negative 5 end cell row 0 6 end table close square brackets equals... 

  1. open square brackets table row 4 14 row 8 12 end table close square brackets 

  2. open square brackets table row 2 cell negative 16 end cell row 8 cell negative 18 end cell end table close square brackets 

  3. open square brackets table row 2 14 row 4 12 end table close square brackets 

  4. open square brackets table row 4 cell negative 8 end cell row 8 8 end table close square brackets 

  5. open square brackets table row 4 cell negative 19 end cell row 8 cell negative 26 end cell end table close square brackets 

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Ingat!

Pada perkalian matriks, baris matriks pertama dikalikan dengan kolom pada matiks kedua 

open parentheses table row a b row c d end table close parentheses open parentheses table row e f row g h end table close parentheses equals open parentheses table row cell a e plus b g end cell cell a f plus b h end cell row cell c e plus d g end cell cell c f plus d h end cell end table close parentheses 

Perhatikan perhitungan berikut! 

Misalnya A equals open parentheses table row a b row c d end table close parentheses 

Karena A open square brackets table row 1 row 0 end table close square brackets equals open square brackets table row 2 row 4 end table close square brackets, maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses table row a b row c d end table close parentheses times open parentheses table row 1 row 0 end table close parentheses end cell equals cell open parentheses table row 2 row 4 end table close parentheses end cell row cell open parentheses table row cell a plus 0 end cell row cell c plus 0 end cell end table close parentheses end cell equals cell open parentheses table row 2 row 4 end table close parentheses end cell row cell open parentheses table row a row c end table close parentheses end cell equals cell open parentheses table row 2 row 4 end table close parentheses end cell end table 

Karena A open square brackets table row cell negative 1 end cell row 2 end table close square brackets equals open square brackets table row cell negative 5 end cell row cell negative 6 end cell end table close square brackets, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses table row a b row c d end table close parentheses times open parentheses table row cell negative 1 end cell row 2 end table close parentheses end cell equals cell open parentheses table row cell negative 5 end cell row cell negative 6 end cell end table close parentheses end cell row cell open parentheses table row 2 b row 4 d end table close parentheses times open parentheses table row cell negative 1 end cell row 2 end table close parentheses end cell equals cell open parentheses table row cell negative 5 end cell row cell negative 6 end cell end table close parentheses end cell row cell open parentheses table row cell negative 2 plus 2 b end cell row cell negative 4 plus 2 d end cell end table close parentheses end cell equals cell open parentheses table row cell negative 5 end cell row cell negative 6 end cell end table close parentheses end cell end table 

Dari persamaan terakhir, diperoleh 

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 2 plus 2 b end cell equals cell negative 5 end cell row cell 2 b end cell equals cell negative 3 end cell row b equals cell negative 3 over 2 end cell row blank blank blank row cell negative 4 plus 2 d end cell equals cell negative 6 end cell row cell 2 d end cell equals cell negative 2 end cell row d equals cell negative 1 end cell end table 

Jadi matriks A yaitu A equals open parentheses table row 2 cell negative bevelled 3 over 2 end cell row 4 cell negative 1 end cell end table close parentheses. Sehingga 

 table attributes columnalign right center left columnspacing 0px end attributes row cell A open parentheses table row 2 cell negative 5 end cell row 0 6 end table close parentheses end cell equals cell open parentheses table row 2 cell negative bevelled 3 over 2 end cell row 4 cell negative 1 end cell end table close parentheses times open parentheses table row 2 cell negative 5 end cell row 0 6 end table close parentheses end cell row blank equals cell open parentheses table row cell 4 plus 0 end cell cell negative 10 minus 9 end cell row cell 8 minus 0 end cell cell negative 20 minus 6 end cell end table close parentheses end cell row blank equals cell open parentheses table row 4 cell negative 19 end cell row 8 cell negative 26 end cell end table close parentheses end cell end table 

Oleh karena itu, jawaban yang benar adalah E.

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Vince Ardyanti Laia

Pembahasan lengkap banget Mudah dimengerti Makasih ❤️

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