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Diketahui matriks A= , dan 2A-B=C. Nilai determina...

Diketahui matriks A= open parentheses table row cell 2 space space space 4 end cell row cell 3 space space space space 8 end cell end table close parentheses comma space B equals open parentheses table row cell 3 space space space 5 end cell row cell 7 space space space 9 end cell end table close parentheses, dan 2A-B=C. Nilai determinan matriks C adalah ....

  1. 20

  2. 10

  3. 4

  4. -4

     

  5. -10

Jawaban:

C equals open parentheses table row cell a space space space space b end cell row cell c space space space space d end cell end table close parentheses  D e t e r m i n a n space m a t r i k s space A comma space y a i t u colon  d e t left parenthesis C right parenthesis equals space a d minus b c  m a k a colon  2 A minus B equals C  2 open parentheses table row cell 2 space space space space space 4 end cell row cell 3 space space space space 8 end cell end table close parentheses minus open parentheses table row cell 3 space space space space space space 5 end cell row cell 7 space space space space space 9 end cell end table close parentheses equals space C  open parentheses table row cell 4 space space space space space 8 end cell row cell 6 space space space space space 16 end cell end table close parentheses minus open parentheses table row cell 3 space space space space 5 end cell row cell 7 space space space space 9 end cell end table close parentheses equals space C  C equals open parentheses table row cell 1 space space space space 3 end cell row cell negative 1 space space space space 7 end cell end table close parentheses  S e h i n g g a space d e t e r m i n a n a n y a comma space y a i t u colon space d e t left parenthesis C right parenthesis equals 7 minus left parenthesis negative 3 right parenthesis equals 10

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