Iklan

Iklan

Pertanyaan

Diketahui dan . Jika , maka nilai 3 x - 2 y = ....

Diketahui begin mathsize 14px style P equals open parentheses table row cell negative 2 x end cell 4 row 3 cell negative 3 end cell end table close parentheses comma Q equals open parentheses table row y cell negative 9 end cell row cell negative 5 end cell 6 end table close parentheses end style dan begin mathsize 14px style R equals open parentheses table row 1 3 row cell 2 x end cell cell negative 4 y end cell end table close parentheses end style . Jika begin mathsize 14px style P plus 2 Q minus 3 R equals open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end style , maka nilai 32=  ....

  1. -7

  2. -4

  3. -3

  4. -1

  5. 1

Iklan

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawabannya adalah B.

jawabannya adalah B.

Iklan

Pembahasan

Dari kesamaan matriks di atas, kita peroleh dan Maka, Jadi, jawabannya adalah B.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P plus 2 Q minus 3 R end cell equals cell open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end cell row cell open parentheses table row cell negative 2 x end cell 4 row 3 cell negative 3 end cell end table close parentheses plus 2 open parentheses table row y cell negative 9 end cell row cell negative 5 end cell 6 end table close parentheses minus 3 open parentheses table row 1 3 row cell 2 x end cell cell negative 4 y end cell end table close parentheses end cell equals cell open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end cell row cell open parentheses table row cell negative 2 x end cell 4 row 3 cell negative 3 end cell end table close parentheses plus open parentheses table row cell 2 y end cell cell negative 18 end cell row cell negative 10 end cell 12 end table close parentheses minus open parentheses table row 3 9 row cell 6 x end cell cell negative 12 y end cell end table close parentheses end cell equals cell open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end cell row cell open parentheses table row cell negative 2 x plus 2 y minus 3 end cell cell 4 plus open parentheses negative 18 close parentheses minus 9 end cell row cell 3 plus open parentheses negative 10 close parentheses minus 6 x end cell cell negative 3 plus 12 minus open parentheses negative 12 y close parentheses end cell end table close parentheses end cell equals cell open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end cell row cell open parentheses table row cell negative 2 x plus 2 y minus 3 end cell cell negative 23 end cell row cell negative 7 minus 6 x end cell cell 9 plus 12 y end cell end table close parentheses end cell equals cell open parentheses table row cell negative 1 end cell cell negative 23 end cell row 5 cell negative 3 end cell end table close parentheses end cell row blank blank blank row blank blank blank end table end style 

Dari kesamaan matriks di atas, kita peroleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 7 minus 6 x end cell equals 5 row cell negative 6 x end cell equals cell 5 plus 7 end cell row cell negative 6 x end cell equals 12 row x equals cell fraction numerator 12 over denominator negative 6 end fraction end cell row x equals cell negative 2 end cell end table end style 

dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 9 plus 12 y end cell equals cell negative 3 end cell row cell 12 y end cell equals cell negative 3 minus 9 end cell row cell 12 y end cell equals cell negative 12 end cell row y equals cell fraction numerator negative 12 over denominator 12 end fraction end cell row y equals cell negative 1 end cell end table end style 

Maka, begin mathsize 14px style 3 x minus 2 y equals 3 open parentheses negative 2 close parentheses minus 2 open parentheses negative 1 close parentheses equals negative 6 plus 2 equals negative 4 end style 

Jadi, jawabannya adalah B.

Latihan Bab

Konsep Kilat

Pengertian Matriks

Operasi Hitung Matriks

Invers Matriks

166

Iklan

Iklan

Pertanyaan serupa

Diketahui . Nilai 5 x - 5 y = ....

74

0.0

Jawaban terverifikasi

Iklan

Iklan

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia