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Tentukan: e. Determinan Matriks FK

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:

e. Determinan Matriks FK

Jawaban:

Diketahui: 

begin mathsize 14px style 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 3 0 row 4 2 end table close square brackets end style 

Maka:

begin mathsize 14px style FK equals open square brackets table row 2 2 row 4 0 end table close square brackets open square brackets table row 3 0 row 4 2 end table close square brackets FK equals open square brackets table row cell 2 times 3 plus 2 times 4 end cell cell 2 times 0 plus 2 times 2 end cell row cell 4 times 3 plus 0 times 4 end cell cell 4 times 0 plus 0 times 2 end cell end table close square brackets FK equals open square brackets table row cell 6 plus 8 end cell cell 0 plus 4 end cell row cell 12 plus 0 end cell cell 0 plus 0 end cell end table close square brackets FK equals open square brackets table row 10 4 row 12 0 end table close square brackets end style 

Sehingga:

begin mathsize 14px style det. FK equals open parentheses 10 times 0 close parentheses minus open parentheses 4 times 12 close parentheses det. FK equals open parentheses 0 close parentheses minus open parentheses 48 close parentheses det. FK equals 0 minus 48 det. FK equals negative 48 end style 

Jadi, determinan matriks FK adalah begin mathsize 14px style negative 48 end style.

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