Pertanyaan

Diketahui matriks A = ( 3 4 k + 1 − 5 1 ) , B = ( 1 2 6 2 ) dan C = ( 3 − 11 − 1 4 ) . Nilai k yang memenuhi agar A + B − C − 1 = 0 adalah...

Diketahui matriks $A = (3 4 k + 1 - 5 1)$ , $B = (1262)$ dan $C = (3 - 11 - 1 4)$ . Nilai k yang memenuhi agar $A + B - C^{- 1} = 0$ adalah...

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Maka,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A plus B minus C to the power of negative 1 end exponent end cell equals 0 row cell A plus B end cell equals cell C to the power of negative 1 end exponent end cell row cell open square brackets table row 3 cell negative 5 end cell row cell 4 k plus 1 end cell 1 end table close square brackets plus open square brackets table row 1 6 row 2 2 end table close square brackets end cell equals cell fraction numerator 1 over denominator 12 minus 11 end fraction open square brackets table row 4 1 row 11 3 end table close square brackets end cell row cell open square brackets table row 3 cell negative 5 end cell row cell 4 k plus 1 end cell 1 end table close square brackets plus open square brackets table row 1 6 row 2 2 end table close square brackets end cell equals cell open square brackets table row 4 1 row 11 3 end table close square brackets end cell end table end style$

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 k plus 1 plus 2 end cell equals 11 row cell 4 k end cell equals 8 row k equals 2 end table end style