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Pertanyaan

Jika G = ( 2 1 ​ − 3 2 ​ ) maka ∣ G − 1 ∣ = ...

Jika  

  1. -7

  2. begin mathsize 14px style negative 1 over 7 end style 

  3. -1

  4. begin mathsize 14px style 1 over 7 end style 

  5. 7

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A. Acfreelance

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Pembahasan

Ingat bahwa sehingga Cara lain: Diketahui , maka Sehingga

Ingat bahwa begin mathsize 14px style vertical line straight G to the power of negative 1 end exponent vertical line equals fraction numerator 1 over denominator vertical line straight G vertical line end fraction end style sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight G to the power of negative 1 end exponent vertical line end cell equals cell fraction numerator 1 over denominator vertical line straight G vertical line end fraction end cell row blank equals cell fraction numerator 1 over denominator left parenthesis 2 times 2 minus left parenthesis negative 3 right parenthesis times 1 right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator 4 plus 3 end fraction end cell row blank equals cell 1 over 7 end cell end table end style  

 

Cara lain:

Diketahui begin mathsize 14px style straight G equals open parentheses table row 2 cell negative 3 end cell row 1 2 end table close parentheses end style , maka

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight G to the power of negative 1 end exponent vertical line end cell equals cell fraction numerator 1 over denominator left parenthesis 2 times 2 minus left parenthesis negative 3 right parenthesis times 1 right parenthesis end fraction open parentheses table row 2 3 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator 4 plus 3 end fraction open parentheses table row 2 3 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell 1 over 7 open parentheses table row 2 3 row cell negative 1 end cell 2 end table close parentheses end cell row blank equals cell open parentheses table row cell 2 over 7 end cell cell 3 over 7 end cell row cell negative 1 over 7 end cell cell 2 over 7 end cell end table close parentheses end cell end table end style 

 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight G to the power of negative 1 end exponent vertical line end cell equals cell 2 over 7 times 2 over 7 minus 3 over 7 times left parenthesis negative 1 over 7 right parenthesis end cell row blank equals cell 4 over 49 plus 3 over 49 end cell row blank equals cell 7 over 49 end cell row blank equals cell 1 over 7 end cell end table end style  

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Jika G = ( 1 − 1 ​ 0 2 ​ ) maka ∣ G − 1 ∣ = ...

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