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Tentukan: a. Determinan Matriks G

begin mathsize 14px style straight G equals open square brackets table row 3 4 0 row 2 5 cell negative 1 end cell row 1 0 1 end table close square brackets comma space straight F equals open square brackets table row 2 2 row 4 0 end table close square brackets comma space straight K equals open square brackets table row cell negative 3 end cell 0 row 4 2 end table close square brackets end style 

Tentukan:

a. Determinan Matriks G

Jawaban:

Diketahui: 

begin mathsize 14px style straight G equals open square brackets table row 3 4 0 row 2 5 cell negative 1 end cell row 1 0 1 end table close square brackets end style 

Maka:

begin mathsize 14px style straight G equals open square brackets table row 3 4 0 row 2 5 cell negative 1 end cell row 1 0 1 end table close square brackets left enclose table row 3 row 2 row 1 end table table row 4 row 5 row 0 end table end enclose det. straight G equals open square brackets open parentheses 3 times 5 times 1 close parentheses plus open parentheses 4 times negative 1 times 1 close parentheses plus open parentheses 0 times 2 times 0 close parentheses close square brackets minus open square brackets open parentheses 0 times 5 times 1 close parentheses plus open parentheses 3 times negative 1 times 0 close parentheses plus open parentheses 4 times 2 times 1 close parentheses close square brackets det. straight G equals open square brackets left parenthesis 15 right parenthesis plus left parenthesis negative 4 right parenthesis plus left parenthesis 0 right parenthesis close square brackets minus open square brackets left parenthesis 0 right parenthesis plus left parenthesis negative 3 right parenthesis plus left parenthesis 8 right parenthesis close square brackets det space straight G equals open square brackets 15 minus 4 close square brackets minus open square brackets negative 3 plus 8 close square brackets det. straight G equals 11 minus 5 det. straight G equals 6 end style 

Jadi, determinan matriks G adalah begin mathsize 14px style 6 end style.

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