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Diketahui  dan  Jika  maka nilai a = ....

Pertanyaan

Diketahui begin mathsize 14px style straight P equals open parentheses table row 0 cell 2 straight a end cell row 6 cell negative 1 end cell end table close parentheses end style dan begin mathsize 14px style straight Q equals open parentheses table row 1 cell negative 1 end cell row 0 cell negative 1 end cell end table close parentheses. end style Jika begin mathsize 14px style open parentheses PQ close parentheses to the power of negative 1 end exponent equals open parentheses table row cell negative 5 over 6 end cell cell 1 over 6 end cell row cell negative 1 end cell 0 end table close parentheses comma end style maka nilai a = ....

  1. -2

  2. begin mathsize 14px style negative 1 half end style 

  3. begin mathsize 14px style 1 half end style 

  4. 1

  5. 2

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row PQ equals cell open parentheses table row 0 cell 2 straight a end cell row 6 cell negative 1 end cell end table close parentheses open parentheses table row 1 cell negative 1 end cell row 0 cell negative 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 0 cell negative 2 straight a end cell row 6 cell negative 6 plus 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 0 cell negative 2 straight a end cell row 6 cell negative 5 end cell end table close parentheses end cell end table end style 

Ingat bahwa jika

undefined 

Maka

undefined 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses PQ close parentheses to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator 0 open parentheses negative 5 close parentheses minus open parentheses negative 2 straight a close parentheses open parentheses 6 close parentheses end fraction open parentheses table row cell negative 5 end cell cell 2 straight a end cell row cell negative 6 end cell 0 end table close parentheses end cell row cell open parentheses table row cell negative fraction numerator 5 over denominator 12 straight a end fraction end cell cell 1 over 6 end cell row cell negative fraction numerator 1 over denominator 2 straight a end fraction end cell 0 end table close parentheses end cell equals cell fraction numerator 1 over denominator 12 straight a end fraction open parentheses table row cell negative 5 end cell cell 2 straight a end cell row cell negative 6 end cell 0 end table close parentheses end cell row cell open parentheses table row cell negative 5 over 6 end cell cell 1 over 6 end cell row cell negative 1 end cell 0 end table close parentheses end cell equals cell open parentheses table row cell negative fraction numerator 5 over denominator 12 straight a end fraction end cell cell 1 over 6 end cell row cell negative fraction numerator 1 over denominator 2 straight a end fraction end cell 0 end table close parentheses end cell end table end style 

Dari kesamaan matriks di atas, kita peroleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 1 end cell equals cell negative fraction numerator 1 over denominator 2 straight a end fraction end cell row cell 2 straight a end cell equals 1 row straight a equals cell 1 half end cell end table end style 

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