Pertanyaan

Diketahui matriks P = [ − 1 5 0 6 ] , R = [ − 3 2 − 6 2 ] , dan S = [ − 5 60 − 5 3 ] . Tentukan: b. Matriks Q jika PQ + R = S .

Diketahui matriks $P = [- 1 5 06]$ , $R = [- 3 2 - 6 2]$ , dan $S = [- 5 60 - 5 3]$ . Tentukan:

b. Matriks $Q$ jika $PQ + R = S$ .

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

matriks

Pembahasan

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P Q plus R end cell equals S row cell P Q end cell equals cell S minus R end cell row Q equals cell P to the power of negative 1 end exponent open parentheses S minus R close parentheses end cell row Q equals cell P to the power of negative 1 end exponent open parentheses open square brackets table row cell negative 5 end cell cell negative 5 end cell row 60 3 end table close square brackets minus open square brackets table row cell negative 3 end cell cell negative 6 end cell row 2 2 end table close square brackets close parentheses end cell row Q equals cell P to the power of negative 1 end exponent open square brackets table row cell negative 5 plus 3 end cell cell negative 5 plus 6 end cell row cell 60 minus 2 end cell cell 3 minus 2 end cell end table close square brackets end cell row Q equals cell P to the power of negative 1 end exponent open square brackets table row cell negative 2 end cell 1 row 58 1 end table close square brackets end cell row Q equals cell fraction numerator 1 over denominator negative 6 minus 0 end fraction open square brackets table row 6 0 row cell negative 5 end cell cell negative 1 end cell end table close square brackets open square brackets table row cell negative 2 end cell 1 row 58 1 end table close square brackets end cell row Q equals cell negative 1 over 6 open square brackets table row 6 0 row cell negative 5 end cell cell negative 1 end cell end table close square brackets open square brackets table row cell negative 2 end cell 1 row 58 1 end table close square brackets end cell row Q equals cell open square brackets table row cell negative 1 end cell 0 row cell 5 over 6 end cell cell 1 over 6 end cell end table close square brackets open square brackets table row cell negative 2 end cell 1 row 58 1 end table close square brackets end cell row Q equals cell open square brackets table row cell 2 plus 0 end cell cell negative 1 plus 0 end cell row cell fraction numerator negative 10 over denominator 6 end fraction plus 58 over 6 end cell cell 5 over 6 plus 1 over 6 end cell end table close square brackets end cell row Q equals cell open square brackets table row 2 cell negative 1 end cell row 8 1 end table close square brackets end cell end table end style$

Jadi, matriks