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Diketahui matriks A = [ 3 2 ​ 2 − 1 ​ ] dan B = [ − 2 1 ​ 1 − 1 ​ ] invers dari A ⋅ B adalah...

Diketahui matriks invers dari adalah...

  1. open square brackets table row cell 3 over 7 end cell cell 1 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell 2 end table close square brackets

  2. open square brackets table row cell 1 over 7 end cell cell negative 3 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell cell 1 over 7 end cell end table close square brackets

  3. open square brackets table row cell negative fraction numerator negative 3 over denominator 7 end fraction end cell cell negative 1 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell cell 4 over 7 end cell end table close square brackets

  4. open square brackets table row cell negative 1 half end cell cell negative 1 1 half end cell row 1 2 end table close square brackets

  5. open square brackets table row cell negative 1 half end cell cell negative 1 1 half end cell row 1 2 end table close square brackets

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H. Janatu

Master Teacher

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Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat pada pilihan jawaban.

tidak ada jawaban yang tepat pada pilihan jawaban.

Pembahasan

Ingat operasi perkalian matriks : Maka, ingat invers matriks: invers matriks adalah . Jadi, tidak ada jawaban yang tepat pada pilihan jawaban.

Ingat operasi perkalian matriks : open square brackets table row a b row c d end table close square brackets open square brackets table row e f row g h end table close square brackets equals open square brackets table row cell a e plus b g end cell cell a f plus b h end cell row cell c e plus d g end cell cell c f plus d h end cell end table close square brackets

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell A times B end cell equals cell open square brackets table row 3 2 row 2 cell negative 1 end cell end table close square brackets open square brackets table row cell negative 2 end cell 1 row 1 cell negative 1 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 3 left parenthesis negative 2 right parenthesis plus 2 left parenthesis 1 right parenthesis end cell cell 3 left parenthesis 1 right parenthesis plus 2 left parenthesis negative 1 right parenthesis end cell row cell 2 left parenthesis negative 2 right parenthesis plus left parenthesis negative 1 right parenthesis 1 end cell cell 2 left parenthesis 1 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 4 end cell 1 row cell negative 5 end cell 3 end table close square brackets end cell end table

ingat invers matriks: open square brackets table row a b row c d end table close square brackets to the power of negative 1 end exponent equals fraction numerator 1 over denominator a d minus b c end fraction open square brackets table row d cell negative b end cell row cell negative c end cell a end table close square brackets

invers matriks A times B adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell open square brackets table row cell negative 4 end cell 1 row cell negative 5 end cell 3 end table close square brackets to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator negative 4 left parenthesis 3 right parenthesis minus 1 left parenthesis negative 5 right parenthesis end fraction open square brackets table row 3 cell negative 1 end cell row 5 cell negative 4 end cell end table close square brackets end cell row blank equals cell negative 1 over 7 open square brackets table row 3 cell negative 1 end cell row 5 cell negative 4 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 3 over 7 end cell cell 1 over 7 end cell row cell negative 5 over 7 end cell cell 4 over 7 end cell end table close square brackets end cell end table.

Jadi, tidak ada jawaban yang tepat pada pilihan jawaban.

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