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Diketahui matriks , invers matriks B adalah ...

Diketahui matriks begin mathsize 14px style straight B equals open parentheses table row cell negative 3 end cell cell negative 2 end cell row 4 2 end table close parentheses end style, invers matriks B adalah ...

Jawaban:

Invers matriks B dilambangkan dengan begin mathsize 14px style straight B to the power of negative 1 end exponent end style, berdasarkan konsep invers matriks maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight B to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator det open parentheses straight B close parentheses end fraction cross times Adj open parentheses straight B close parentheses end cell row blank equals cell fraction numerator 1 over denominator open parentheses negative 3 cross times 2 close parentheses minus open parentheses negative 2 cross times 4 close parentheses end fraction cross times open parentheses table row 3 4 row cell negative 2 end cell cell negative 2 end cell end table close parentheses end cell row blank equals cell 1 half cross times open parentheses table row 3 4 row cell negative 2 end cell cell negative 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 3 over 2 end cell 2 row cell negative 1 end cell cell negative 1 end cell end table close parentheses end cell end table end style  

Dengan demikian invers matriks B adalah begin mathsize 14px style open parentheses table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell table row cell 3 over 2 end cell 2 row cell negative 1 end cell cell negative 1 end cell end table end cell end table close parentheses end style.

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