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Diketahui  dan  Jika AB = C, maka B = ....

Pertanyaan

Diketahui begin mathsize 14px style straight A equals open parentheses table row 5 6 row cell negative 7 end cell cell negative 8 end cell end table close parentheses end style dan begin mathsize 14px style straight C equals open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses. end style Jika AB = C, maka B = ....

  1. begin mathsize 14px style open parentheses table row cell negative 1 end cell cell negative 6 end cell row 1 5 end table close parentheses end style 

  2. begin mathsize 14px style open parentheses table row cell negative 4 end cell cell negative 3 end cell row 11 8 end table close parentheses end style 

  3. begin mathsize 14px style open parentheses table row cell negative 1 end cell cell negative 3 end cell row 1 8 end table close parentheses end style 

  4. begin mathsize 14px style open parentheses table row cell negative 4 end cell cell negative 3 end cell row 1 5 end table close parentheses end style 

  5. undefined 

A. Acfreelance

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Jawaban terverifikasi

Pembahasan

Diketehui 

AB = C

Karena yang ditanyakan adalah matriks B, maka matriks A di ruas kiri dihilangkan dengan cara dikalikan dengan matriks begin mathsize 14px style straight A 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 A to the power of negative 1 end exponent AB end cell equals cell straight A to the power of negative 1 end exponent straight C end cell row straight B equals cell straight A to the power of negative 1 end exponent straight C end cell row straight B equals cell fraction numerator 1 over denominator 5 open parentheses negative 8 close parentheses minus 6 open parentheses negative 7 close parentheses end fraction open parentheses table row cell negative 8 end cell cell negative 6 end cell row 7 5 end table close parentheses open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell 1 half open parentheses table row cell negative 8 end cell cell negative 6 end cell row 7 5 end table close parentheses open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 end cell cell negative 3 end cell row cell 7 over 2 end cell cell 5 over 2 end cell end table close parentheses open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row cell negative 4 plus 3 end cell cell 0 minus 6 end cell row cell 7 over 2 minus 5 over 2 end cell cell 0 plus 5 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 1 end cell cell negative 6 end cell row 1 5 end table close parentheses end cell row blank blank blank end table end style 

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