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Pertanyaan

Diketahui vektor-vektor begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 2 row 3 end table close parentheses end stylebegin mathsize 14px style b with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 4 end table close parentheses end style, dan begin mathsize 14px style c with rightwards arrow on top equals open parentheses table row 5 row cell negative 2 end cell end table close parentheses end style. Tentukan vektor begin mathsize 14px style x with rightwards arrow on top end style yang memenuhi persamaan berikut.

b. begin mathsize 14px style 3 a with rightwards arrow on top plus 2 x with rightwards arrow on top equals a with rightwards arrow on top plus 2 b with rightwards arrow on top minus 4 c with rightwards arrow on top end style 

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

. vektor begin mathsize 14px style x with rightwards arrow on top end style yang memenuhi persamaan adalah begin mathsize 14px style open parentheses table row cell negative 13 end cell row 4 end table close parentheses end style

Pembahasan

Diketahui vektor-vektor begin mathsize 14px style a with rightwards arrow on top equals open parentheses table row 2 row 3 end table close parentheses end stylebegin mathsize 14px style b with rightwards arrow on top equals open parentheses table row cell negative 1 end cell row 4 end table close parentheses end style, dan begin mathsize 14px style c with rightwards arrow on top equals open parentheses table row 5 row cell negative 2 end cell end table close parentheses end style. Akan ditentukan vektor begin mathsize 14px style x with rightwards arrow on top end style yang memenuhi persamaan begin mathsize 14px style 3 a with rightwards arrow on top plus 2 x with rightwards arrow on top equals a with rightwards arrow on top plus 2 b with rightwards arrow on top minus 4 c with rightwards arrow on top end style 

Perhatikan perhitungan berikut

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 a with rightwards arrow on top plus 2 x with rightwards arrow on top end cell equals cell a with rightwards arrow on top plus 2 b with rightwards arrow on top minus 4 c with rightwards arrow on top end cell row cell 3 open parentheses table row 2 row 3 end table close parentheses plus 2 x with rightwards arrow on top end cell equals cell open parentheses table row 2 row 3 end table close parentheses plus 2 open parentheses table row cell negative 1 end cell row 4 end table close parentheses minus 4 open parentheses table row 5 row cell negative 2 end cell end table close parentheses end cell row cell open parentheses table row 6 row 9 end table close parentheses plus 2 x with rightwards arrow on top end cell equals cell open parentheses table row cell negative 20 end cell row 17 end table close parentheses end cell row cell 2 x with rightwards arrow on top end cell equals cell open parentheses table row cell negative 20 end cell row 17 end table close parentheses minus open parentheses table row 6 row 9 end table close parentheses end cell row cell 2 x with rightwards arrow on top end cell equals cell open parentheses table row cell negative 26 end cell row 8 end table close parentheses end cell row cell x with rightwards arrow on top end cell equals cell open parentheses table row cell negative 13 end cell row 4 end table close parentheses end cell end table end style

Jadi. vektor begin mathsize 14px style x with rightwards arrow on top end style yang memenuhi persamaan adalah begin mathsize 14px style open parentheses table row cell negative 13 end cell row 4 end table close parentheses end style

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