Pertanyaan

Diketahui matriks P = ( 3 2 2 2 ) dan matriks Q = ( 3 − 1 − 2 1 ) , Jika Q − 1 P = ( a c b d ) maka nilai a + b - c =...

Diketahui matriks $P = (3222)$ dan matriks $Q = (3 - 1 - 2 1)$ , Jika $Q^{- 1} P = (a c b d)$ maka nilai a + b - c =...

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$space space space space space space space space space space space space space space space space space space space space space space space space Q to the power of negative 1 end exponent P equals open square brackets table row a b row c d end table close square brackets fraction numerator 1 over denominator 3 minus 2 end fraction open square brackets table row 1 2 row 1 3 end table close square brackets open square brackets table row 3 2 row 2 2 end table close square brackets equals open square brackets table row a b row c d end table close square brackets space space space space space space space space space space space open square brackets table row cell 3 plus 4 end cell cell 2 plus 4 end cell row cell 3 plus 6 end cell cell 2 plus 6 end cell end table close square brackets equals open square brackets table row a b row c d end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets table row 7 6 row 9 8 end table close square brackets equals open square brackets table row a b row c d end table close square brackets a equals 7 semicolon b equals 6 semicolon c equals 9 semicolon d equals 8 m a k a a plus b minus c equals 7 plus 6 minus 9 equals 4$