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Pertanyaan

Diketahui matriks begin mathsize 14px style A equals open parentheses table row 2 cell negative 1 end cell row 0 6 end table close parentheses end style, begin mathsize 14px style C equals open parentheses table row 0 8 row 1 1 end table close parentheses end style, dan begin mathsize 14px style D equals open parentheses table row 4 3 row 11 cell negative 31 end cell end table close parentheses end style Jika begin mathsize 14px style D equals A B minus C end style, tentukan matriks begin mathsize 14px style B end style.

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

matriks begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank B end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 3 3 row 2 cell negative 5 end cell end table close parentheses end cell end table end style

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator 2 cross times 6 minus open parentheses negative 1 close parentheses cross times 0 end fraction open parentheses table row 6 1 row 0 2 end table close parentheses end cell row blank equals cell 1 over 12 open parentheses table row 6 1 row 0 2 end table close parentheses end cell end table end style 

 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row D equals cell A B minus C end cell row cell D plus C end cell equals cell A B end cell row cell A to the power of negative 1 end exponent left parenthesis D plus C right parenthesis end cell equals B row blank blank blank row blank blank blank end table end style           
                    

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row B equals cell A to the power of negative 1 end exponent open parentheses D plus C close parentheses end cell row blank equals cell 1 over 12 open parentheses table row 6 1 row 0 2 end table close parentheses open square brackets open parentheses table row 4 3 row 11 cell negative 31 end cell end table close parentheses plus open parentheses table row 0 8 row 1 1 end table close parentheses close square brackets end cell row blank equals cell 1 over 12 open parentheses table row 6 1 row 0 2 end table close parentheses open parentheses table row 4 11 row 12 cell negative 30 end cell end table close parentheses end cell row blank equals cell 1 over 12 open parentheses table row cell 6 cross times 4 plus 1 cross times 12 end cell cell 6 cross times 11 plus 1 cross times negative 30 end cell row cell 0 cross times 4 plus 2 cross times 12 end cell cell 0 cross times 11 plus 2 cross times negative 30 end cell end table close parentheses end cell row blank equals cell 1 over 12 open parentheses table row 36 36 row 24 cell negative 60 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 3 row 2 cell negative 5 end cell end table close parentheses end cell end table end style 

Jadi, matriks begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank B end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row 3 3 row 2 cell negative 5 end cell end table close parentheses end cell end table end style

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