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Diketahui dan B T adalah transpose dari matriks B . Matriks X yang memenuhi A X = B T adalah ....

Diketahui begin mathsize 14px style A equals open parentheses table row 2 3 row 4 5 end table close parentheses comma B equals open parentheses table row 1 cell negative 3 end cell row cell negative 4 end cell 6 end table close parentheses end style dan  adalah transpose dari matriks B  . Matriks X yang memenuhi  adalah ....

  1. begin mathsize 14px style open parentheses table row 17 cell negative 33 end cell row cell negative 12 end cell 24 end table close parentheses end style 

  2. begin mathsize 14px style open parentheses table row cell negative 14 end cell 38 row 10 cell negative 28 end cell end table close parentheses end style 

  3. begin mathsize 14px style open parentheses table row 14 cell negative 38 end cell row cell negative 10 end cell 28 end table close parentheses end style 

  4. begin mathsize 14px style open parentheses table row cell negative 7 end cell 19 row 5 cell negative 14 end cell end table close parentheses end style 

  5. begin mathsize 14px style open parentheses table row 7 cell negative 19 end cell row cell negative 5 end cell 14 end table close parentheses end style 

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Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row B equals cell open parentheses table row 1 cell negative 3 end cell row cell negative 4 end cell 6 end table close parentheses rightwards arrow B to the power of T equals open parentheses table row 1 cell negative 4 end cell row cell negative 3 end cell 6 end table close parentheses end cell row blank blank cell M a k a end cell row cell A X end cell equals cell B to the power of T end cell row cell open parentheses table row 2 3 row 4 5 end table close parentheses X end cell equals cell open parentheses table row 1 cell negative 4 end cell row cell negative 3 end cell 6 end table close parentheses end cell row X equals cell open parentheses table row 2 3 row 4 5 end table close parentheses to the power of negative 1 end exponent open parentheses table row 1 cell negative 4 end cell row cell negative 3 end cell 6 end table close parentheses end cell row X equals cell fraction numerator 1 over denominator 2 times 5 minus 4 times 3 end fraction open parentheses table row 5 cell negative 3 end cell row cell negative 4 end cell 2 end table close parentheses open parentheses table row 1 cell negative 4 end cell row cell negative 3 end cell 6 end table close parentheses end cell row X equals cell fraction numerator 1 over denominator 10 minus 12 end fraction open parentheses table row cell 5 times 1 plus open parentheses negative 3 close parentheses times open parentheses negative 3 close parentheses end cell cell 5 times open parentheses negative 4 close parentheses plus open parentheses negative 3 close parentheses times 6 end cell row cell open parentheses negative 4 close parentheses times 1 plus 2 times open parentheses negative 3 close parentheses end cell cell open parentheses negative 4 close parentheses times open parentheses negative 4 close parentheses plus 2 times 6 end cell end table close parentheses end cell row X equals cell fraction numerator 1 over denominator negative 2 end fraction open parentheses table row cell 5 plus 9 end cell cell negative 20 minus 18 end cell row cell negative 4 minus 6 end cell cell 16 plus 12 end cell end table close parentheses end cell row X equals cell negative 1 half open parentheses table row 14 cell negative 38 end cell row cell negative 10 end cell 28 end table close parentheses end cell row X equals cell open parentheses table row cell negative 7 end cell 19 row 5 cell negative 14 end cell end table close parentheses end cell end table end style 

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