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M = [ a c ​ b 0 ​ ] dan M ⋅ [ a c ​ b 0 ​ ] = [ 190 d ​ 20 90 ​ ] , maka nilai det A 900 ​ = ...

 dan  , maka nilai  

  1. begin mathsize 14px style negative straight infinity end style 

     

  2. –900

  3. –100

  4. –60

  5. –10

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R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

Dan Sehingga Didapatkan Dengan bc = 90 didapatkan Maka

undefined 

Dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell det space straight A space end cell equals cell space open vertical bar table row straight a straight b row straight c 0 end table close vertical bar end cell row blank equals cell 0 minus bc space end cell row blank equals bc end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight M open square brackets table row straight a straight b row straight c 0 end table close square brackets end cell equals cell open square brackets table row 190 20 row straight d 90 end table close square brackets end cell row cell open square brackets table row straight a straight b row straight c 0 end table close square brackets open square brackets table row straight a straight b row straight c 0 end table close square brackets end cell equals cell open square brackets table row 190 20 row straight d 90 end table close square brackets end cell row cell open square brackets table row cell straight a squared plus bc end cell ab row ac bc end table close square brackets end cell equals cell open square brackets table row 190 20 row straight d 90 end table close square brackets end cell end table end style 

Didapatkan 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight a squared plus bc end cell equals 190 row ab equals 20 row ac equals straight d row bc equals 90 end table end style 

Dengan bc = 90 didapatkan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 900 over denominator det invisible function application straight A end fraction space end cell equals cell fraction numerator 900 over denominator negative bc end fraction end cell row blank equals cell fraction numerator 900 over denominator negative 90 end fraction end cell row blank equals cell negative 10 end cell end table end style 

Maka begin mathsize 14px style fraction numerator 900 over denominator det space straight A end fraction equals negative 10 end style 

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dan maka nilai det A = ...

90

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