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Pertanyaan

Jika dan det A =-2, maka d e tB A − 1 = ....

Jika begin mathsize 14px style A B equals 2 open parentheses table row 1 3 row 2 4 end table close parentheses end style  dan det A =-2, maka   ....

  1. 8

  2. 4

  3. 2

  4. -2

  5. -4

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Jawaban terverifikasi

Pembahasan

Maka sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A B end cell equals cell 2 open parentheses table row 1 3 row 2 4 end table close parentheses end cell row cell A B end cell equals cell open parentheses table row 2 6 row 4 8 end table close parentheses end cell row cell det invisible function application A B end cell equals cell 2 times 8 minus 4 times 6 end cell row blank equals cell 16 minus 24 space end cell row blank equals cell negative 8 end cell row blank blank blank end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell det invisible function application A B end cell equals cell det invisible function application A cross times det invisible function application B end cell row cell negative 8 end cell equals cell negative 2 cross times det invisible function application B end cell row cell det invisible function application B end cell equals cell fraction numerator negative 8 over denominator negative 2 end fraction end cell row cell det invisible function application B end cell equals 4 end table end style 

sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell det invisible function application B A to the power of negative 1 end exponent end cell equals cell det invisible function application B cross times det invisible function application A to the power of negative 1 end exponent end cell row blank equals cell det invisible function application B cross times fraction numerator 1 over denominator det invisible function application A end fraction end cell row blank equals cell 4 cross times fraction numerator 1 over denominator negative 2 end fraction end cell row blank equals cell fraction numerator 4 over denominator negative 2 end fraction end cell row blank equals cell negative 2 end cell end table end style 

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