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Diketahui  dan  Jika PQ = R, maka Q = ....

Pertanyaan

Diketahui begin mathsize 14px style straight P equals open parentheses table row 1 0 row 9 cell negative 2 end cell end table close parentheses end style dan begin mathsize 14px style straight R equals open parentheses table row 3 4 row cell negative 2 end cell 2 end table close parentheses. end style Jika PQ = R, maka Q = ....

  1. begin mathsize 14px style open parentheses table row 21 cell negative 2 end cell row 7 cell negative 1 end cell end table close parentheses end style 

  2. begin mathsize 14px style open parentheses table row 21 cell negative 2 end cell row cell 29 over 2 end cell 17 end table close parentheses end style 

  3. begin mathsize 14px style open parentheses table row 1 cell negative 2 end cell row 7 17 end table close parentheses end style 

  4. begin mathsize 14px style open parentheses table row 1 4 row 7 cell negative 1 end cell end table close parentheses end style 

  5. begin mathsize 14px style open parentheses table row 3 4 row cell 29 over 2 end cell 17 end table close parentheses end style  

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui

PQ = R

Karena yang ditanyakan adalah matriks Q, maka matriks P di ruas kiri dihilangkan dengan cara dikalikan dengan matriks begin mathsize 14px style straight P to the power of negative 1 end exponent end style di kiri menjadi seperti berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P to the power of negative 1 end exponent PQ end cell equals cell straight P to the power of negative 1 end exponent straight R end cell row straight Q equals cell straight P to the power of negative 1 end exponent straight R end cell row straight Q equals cell fraction numerator 1 over denominator 1 left parenthesis negative 2 right parenthesis minus 0 left parenthesis 9 right parenthesis end fraction open parentheses table row cell negative 2 end cell 0 row cell negative 9 end cell 1 end table close parentheses open parentheses table row 3 4 row cell negative 2 end cell 2 end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator negative 2 end fraction open parentheses table row cell negative 2 end cell 0 row cell negative 9 end cell 1 end table close parentheses open parentheses table row 3 4 row cell negative 2 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row 1 0 row cell 9 over 2 end cell cell negative 1 half end cell end table close parentheses open parentheses table row 3 4 row cell negative 2 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row 3 4 row cell 27 over 2 plus 1 end cell cell 18 minus 1 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 4 row cell 29 over 2 end cell 17 end table close parentheses end cell end table end style   

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