Pertanyaan

Diketahui matriks dan matriks . Invers matriks AB adalah ( A B ) − 1 =.......

Diketahui matriks dan matriks B equals open parentheses table row 1 cell negative 1 end cell row 1 1 row cell negative 1 end cell cell negative 2 end cell end table close parentheses . Invers matriks AB adalah $(A B)^{- 1}$ =.......

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Habis dalam

Klaim

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$A B equals open parentheses table row 1 2 1 row 1 cell negative 1 end cell cell negative 1 end cell end table close parentheses open parentheses table row 1 cell negative 1 end cell row 1 1 row cell negative 1 end cell cell negative 2 end cell end table close parentheses A B equals open parentheses table row cell 1 plus 2 minus 1 end cell cell negative 1 plus 2 minus 2 end cell row cell 1 minus 1 plus 1 end cell cell negative 1 minus 1 plus 2 end cell end table close parentheses A B equals open parentheses table row 2 cell negative 1 end cell row 1 0 end table close parentheses I n g a t space b a h w a space i n v e r s space d a r i space m a t r i k s space P equals open parentheses table row a b row c d end table close parentheses space a d a l a h space P to the power of negative 1 end exponent equals fraction numerator 1 over denominator a d minus b c end fraction open parentheses table row d cell negative b end cell row cell negative c end cell a end table close parentheses comma space m a k a open parentheses A B close parentheses to the power of negative 1 end exponent equals fraction numerator 1 over denominator 2 open parentheses 0 close parentheses minus open parentheses 1 close parentheses open parentheses negative 1 close parentheses end fraction open parentheses table row 0 1 row cell negative 1 end cell 2 end table close parentheses open parentheses A B close parentheses to the power of negative 1 end exponent equals open parentheses table row 0 1 row cell negative 1 end cell 2 end table close parentheses$