Jika matriks A=[13​24​] dan B=[−65​−54​] maka invers matriks A⋅B adalah ....

Pertanyaan

Jika matriks begin mathsize 14px style A equals open square brackets table row 1 2 row 3 4 end table close square brackets end style dan begin mathsize 14px style B equals open square brackets table row cell negative 6 end cell cell negative 5 end cell row 5 4 end table close square brackets end style maka invers matriks begin mathsize 14px style A times B end style adalah ....

  1. begin mathsize 14px style open square brackets table row 4 3 row 2 1 end table close square brackets end style 

  2. begin mathsize 14px style open square brackets table row 1 cell negative 3 end cell row cell negative 2 end cell 1 end table close square brackets end style 

  3. begin mathsize 14px style open square brackets table row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell fraction numerator negative 3 over denominator 2 end fraction end cell row 1 2 end table close square brackets end style 

  4. begin mathsize 14px style open square brackets table row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell fraction numerator negative 3 over denominator 2 end fraction end cell row cell negative 1 end cell 2 end table close square brackets end style 

  5. begin mathsize 14px style open square brackets table row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell 3 over 2 end cell row 1 cell negative 2 end cell end table close square brackets end style 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A times B end cell equals cell open square brackets table row 1 2 row 3 4 end table close square brackets times open square brackets table row cell negative 6 end cell cell negative 5 end cell row 5 4 end table close square brackets end cell row blank equals cell open square brackets table row cell 1 times open parentheses negative 6 close parentheses plus 2 times 5 end cell cell space space space 1 times open parentheses negative 5 close parentheses plus 2 times 4 end cell row cell 3 times open parentheses negative 6 close parentheses plus 4 times 5 end cell cell space space space 3 times open parentheses negative 5 close parentheses plus 4 times 4 end cell end table close square brackets end cell row blank equals cell open square brackets table row 4 3 row 2 1 end table close square brackets end cell end table end style 
 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses A times B close parentheses to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator det open parentheses A times B close parentheses end fraction times Adj open parentheses A times B close parentheses end cell row blank equals cell fraction numerator 1 over denominator 4 times 1 minus 3 times 2 end fraction times open square brackets table row 1 cell negative 3 end cell row cell negative 2 end cell 4 end table close square brackets end cell row blank equals cell negative 1 half times open square brackets table row 1 cell negative 3 end cell row cell negative 2 end cell 4 end table close square brackets end cell row blank equals cell open square brackets table row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell 3 over 2 end cell row 1 cell negative 2 end cell end table close square brackets end cell end table end style 

Jadi, jawaban yang tepat adalah E.

27

0.0 (0 rating)

Pertanyaan serupa

Jika matriks A=(31​20​) dan B=(10​−22​), maka matriks AB−1+BA−1=…

5

0.0

Jawaban terverifikasi

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

Produk Lainnya

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