Pertanyaan

Diketahui matriks . Jika determinan matriks A sama dengan determinan matriks B dan x > 1, maka invers matriks A adalah ….

$begin mathsize 14px style fraction numerator 1 over denominator negative 21 end fraction open parentheses table row 6 cell negative 3 end cell row cell negative 3 end cell cell negative 2 end cell end table close parentheses end style$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

Karena x > 1, maka x = 3. Sehingga

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row A equals cell open parentheses table row cell 1 minus x end cell x row 3 cell 2 x end cell end table close parentheses end cell row A equals cell open parentheses table row cell 1 minus 3 end cell 3 row 3 cell 2 open parentheses 3 close parentheses end cell end table close parentheses end cell row A equals cell open parentheses table row cell negative 2 end cell 3 row 3 6 end table close parentheses end cell row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator negative 2 open parentheses 6 close parentheses minus 3 open parentheses 3 close parentheses end fraction open parentheses table row 6 cell negative 3 end cell row cell negative 3 end cell cell negative 2 end cell end table close parentheses end cell row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator negative 12 minus 9 end fraction open parentheses table row 6 cell negative 3 end cell row cell negative 3 end cell cell negative 2 end cell end table close parentheses end cell row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator negative 21 end fraction open parentheses table row 6 cell negative 3 end cell row cell negative 3 end cell cell negative 2 end cell end table close parentheses end cell end table end style$