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Diketahui A = ( 3 − 4 ​ − 2 3 ​ ) ( − 2 − 5 ​ 3 7 ​ ) . Tentukan invers matriks B jika A B = ( − 3 6 ​ 5 − 9 ​ ) .

Diketahui  . Tentukan invers matriks  jika .

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Diketahui . Tentukan invers matriks jika .

Diketahui  size 14px A size 14px equals begin mathsize 14px style open parentheses table row 3 cell negative 2 end cell row cell negative 4 end cell 3 end table close parentheses end style begin mathsize 14px style open parentheses table row cell negative 2 end cell 3 row cell negative 5 end cell 7 end table close parentheses end style. Tentukan invers matriks undefined jika size 14px A size 14px B size 14px equals begin mathsize 14px style open parentheses table row cell negative 3 end cell 5 row 6 cell negative 9 end cell end table close parentheses end style.

begin mathsize 14px style A equals open parentheses table row 3 cell negative 2 end cell row cell negative 4 end cell 3 end table close parentheses open parentheses table row cell negative 2 end cell 3 row cell negative 5 end cell 7 end table close parentheses space space equals open parentheses table row 4 cell negative 5 end cell row cell negative 7 end cell 9 end table close parentheses end style

begin mathsize 14px style A B equals open parentheses table row cell negative 3 end cell 5 row 6 cell negative 9 end cell end table close parentheses space space space B equals A to the power of negative 1 end exponent open parentheses table row cell negative 3 end cell 5 row 6 cell negative 9 end cell end table close parentheses space space space space space equals open parentheses table row 4 cell negative 5 end cell row cell negative 7 end cell 9 end table close parentheses to the power of negative 1 end exponent open parentheses table row cell negative 3 end cell 5 row 6 cell negative 9 end cell end table close parentheses space space space space space equals fraction numerator 1 over denominator 36 minus 35 end fraction open parentheses table row 9 5 row 7 4 end table close parentheses open parentheses table row cell negative 3 end cell 5 row 6 cell negative 9 end cell end table close parentheses space space space space space equals open parentheses table row 3 0 row 3 cell negative 1 end cell end table close parentheses end style  

begin mathsize 14px style straight B to the power of negative 1 end exponent equals open parentheses table row 3 0 row 3 cell negative 1 end cell end table close parentheses to the power of negative 1 end exponent space space space space space space equals fraction numerator 1 over denominator negative 3 minus 3 end fraction open parentheses table row cell negative 1 end cell 0 row cell negative 3 end cell 3 end table close parentheses space space space space space space equals open parentheses table row cell 1 over 6 end cell 0 row cell 1 half end cell cell negative 1 half end cell end table close parentheses end style

 

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