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Diketahui matriks A= , B= , dan A+B=C . Determinan matriks C adalah ...

Diketahui matriks A= open parentheses table row cell 3 space space space space 2 end cell row cell 5 space space space space space 3 end cell end table close parentheses, B= open parentheses table row cell 2 space space space 1 end cell row cell 0 space space space space 4 end cell end table close parentheses, dan A+B=C . Determinan matriks C adalah ...

 

  1. 20

  2. 18

  3. 16

  4. 15

  5. 10

Jawaban:

M i s a l  A equals open parentheses table row cell a 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 space  d e t left parenthesis A right parenthesis space equals space a d equals b c  M k a  A plus B equals C  open parentheses table row cell 3 space space space space 2 end cell row cell 5 space space space 3 end cell end table close parentheses plus open parentheses table row cell 2 space space space space 1 end cell row cell 0 space space space space 4 end cell end table close parentheses equals space C  C equals open parentheses table row cell 5 space space space 3 end cell row cell 5 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 n y a space y a i t u  d e t left parenthesis c right parenthesis equals space 5 left parenthesis 7 right parenthesis minus 3 left parenthesis 5 right parenthesis equals 35 minus 15 equals 20

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