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Pertanyaan

Diketahui matriks A = ( 2 1 ​ 3 2 ​ ) dan matriks B = ( 1 − 1 ​ 2 1 ​ ) . Matriks ( A B ) − 1 = . . . .

Diketahui matriks  dan matriks . Matriks . . . .

  1. begin mathsize 14px style 1 third open parentheses table row cell negative 1 end cell 7 row 1 4 end table close parentheses end style 

  2. begin mathsize 14px style 1 third open parentheses table row cell negative 1 end cell cell negative 7 end cell row 1 7 end table close parentheses end style 

  3. begin mathsize 14px style 1 third open parentheses table row 4 cell negative 7 end cell row 1 cell negative 1 end cell end table close parentheses end style 

  4. begin mathsize 14px style 1 third open parentheses table row 2 3 row cell negative 1 end cell 2 end table close parentheses end style

  5. begin mathsize 14px style 1 third open parentheses table row cell negative 8 end cell cell negative 1 end cell row cell negative 5 end cell 1 end table close parentheses end style

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F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

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Pembahasan

sehingga, Jadi, jawaban yang tepat adalah C.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A B end cell equals cell open parentheses table row 2 3 row 1 2 end table close parentheses open parentheses table row 1 2 row cell negative 1 end cell 1 end table close parentheses end cell row blank equals cell open parentheses table row cell 2 cross times 1 plus 3 cross times negative 1 end cell cell space space 2 cross times 2 plus 3 cross times 1 end cell row cell 1 cross times 1 plus 2 cross times negative 1 end cell cell space 1 cross times 2 plus 2 cross times 1 end cell end table close parentheses space space space end cell row blank equals cell open parentheses table row cell negative 1 end cell 7 row cell negative 1 end cell 4 end table close parentheses end cell end table end style

sehingga, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell C to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator d e t left parenthesis C right parenthesis end fraction open parentheses table row d cell negative b end cell row cell negative c end cell a end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator left parenthesis negative 1 right parenthesis left parenthesis 4 right parenthesis minus left parenthesis 7 right parenthesis left parenthesis negative 1 right parenthesis end fraction open parentheses table row 4 cell negative 7 end cell row 1 cell negative 1 end cell end table close parentheses end cell row blank equals cell 1 third open parentheses table row 4 cell negative 7 end cell row 1 cell negative 1 end cell end table close parentheses end cell end table end style 

Jadi, jawaban yang tepat adalah C.

 

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Diketahui A = ( 1 2 ​ − 1 2 ​ ) dan B = ( 1 0 ​ − 1 4 ​ ) . Jika C adalah matriks berordo 2 × 2 , sehingga C ⋅ A = B , maka adalah matriks ....

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