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Diketahui matriks tentukanlah: a.

Diketahui matriks begin mathsize 14px style A equals open square brackets table row 2 cell negative 1 end cell row 1 3 end table close square brackets space dan space B equals open square brackets table row 4 1 row 7 cell negative 2 end cell end table close square brackets end style tentukanlah:

a. begin mathsize 14px style 2 A times B to the power of negative 1 end exponent end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row B equals cell open square brackets table row 4 1 row 7 cell negative 2 end cell end table close square brackets end cell row cell B to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator 4 times left parenthesis negative 2 right parenthesis minus 1 times 7 end fraction open square brackets table row cell negative 2 end cell cell negative 1 end cell row cell negative 7 end cell 4 end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator negative 15 end fraction open square brackets table row cell negative 2 end cell cell negative 1 end cell row cell negative 7 end cell 4 end table close square brackets end cell row blank equals cell open square brackets table row cell 2 over 15 end cell cell 1 over 15 end cell row cell 7 over 15 end cell cell negative 4 over 15 end cell end table close square brackets end cell row blank blank blank row cell 2 A times B to the power of negative 1 end exponent end cell equals cell 2 open square brackets table row 2 cell negative 1 end cell row 1 3 end table close square brackets times open square brackets table row cell 2 over 15 end cell cell 1 over 15 end cell row cell 7 over 15 end cell cell negative 4 over 15 end cell end table close square brackets end cell row blank equals cell open square brackets table row 4 cell negative 2 end cell row 2 6 end table close square brackets open square brackets table row cell 2 over 15 end cell cell 1 over 15 end cell row cell 7 over 15 end cell cell negative 4 over 15 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell fraction numerator 8 minus 14 over denominator 15 end fraction end cell cell fraction numerator 4 plus 8 over denominator 15 end fraction end cell row cell fraction numerator 4 plus 42 over denominator 15 end fraction end cell cell fraction numerator 2 minus 24 over denominator 15 end fraction end cell end table close square brackets end cell row blank equals cell open square brackets table row cell fraction numerator negative 2 over denominator 5 end fraction end cell cell 4 over 5 end cell row cell 46 over 15 end cell cell fraction numerator negative 22 over denominator 15 end fraction end cell end table close square brackets end cell end table end style

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