Iklan

Iklan

Pertanyaan

Diketahui matriks A = [ 3 2 ​ 2 − 1 ​ ] dan B = [ − 2 1 ​ 1 − 1 ​ ] invers dari A ⋅ B adalah...

Diketahui matriks invers dari adalah...

  1. open square brackets table row cell 3 over 7 end cell cell 1 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell 2 end table close square brackets

  2. open square brackets table row cell 1 over 7 end cell cell negative 3 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell cell 1 over 7 end cell end table close square brackets

  3. open square brackets table row cell negative fraction numerator negative 3 over denominator 7 end fraction end cell cell negative 1 over 7 end cell row cell fraction numerator negative 5 over denominator 7 end fraction end cell cell 4 over 7 end cell end table close square brackets

  4. open square brackets table row cell negative 1 half end cell cell negative 1 1 half end cell row 1 2 end table close square brackets

  5. open square brackets table row cell negative 1 half end cell cell negative 1 1 half end cell row 1 2 end table close square brackets

Iklan

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat pada pilihan jawaban.

tidak ada jawaban yang tepat pada pilihan jawaban.

Iklan

Pembahasan

Ingat operasi perkalian matriks : Maka, ingat invers matriks: invers matriks adalah . Jadi, tidak ada jawaban yang tepat pada pilihan jawaban.

Ingat operasi perkalian matriks : open square brackets table row a b row c d end table close square brackets open square brackets table row e f row g h end table close square brackets equals open square brackets table row cell a e plus b g end cell cell a f plus b h end cell row cell c e plus d g end cell cell c f plus d h end cell end table close square brackets

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell A times B end cell equals cell open square brackets table row 3 2 row 2 cell negative 1 end cell end table close square brackets open square brackets table row cell negative 2 end cell 1 row 1 cell negative 1 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 3 left parenthesis negative 2 right parenthesis plus 2 left parenthesis 1 right parenthesis end cell cell 3 left parenthesis 1 right parenthesis plus 2 left parenthesis negative 1 right parenthesis end cell row cell 2 left parenthesis negative 2 right parenthesis plus left parenthesis negative 1 right parenthesis 1 end cell cell 2 left parenthesis 1 right parenthesis plus left parenthesis negative 1 right parenthesis left parenthesis negative 1 right parenthesis end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 4 end cell 1 row cell negative 5 end cell 3 end table close square brackets end cell end table

ingat invers matriks: open square brackets table row a b row c d end table close square brackets to the power of negative 1 end exponent equals fraction numerator 1 over denominator a d minus b c end fraction open square brackets table row d cell negative b end cell row cell negative c end cell a end table close square brackets

invers matriks A times B adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell open square brackets table row cell negative 4 end cell 1 row cell negative 5 end cell 3 end table close square brackets to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator negative 4 left parenthesis 3 right parenthesis minus 1 left parenthesis negative 5 right parenthesis end fraction open square brackets table row 3 cell negative 1 end cell row 5 cell negative 4 end cell end table close square brackets end cell row blank equals cell negative 1 over 7 open square brackets table row 3 cell negative 1 end cell row 5 cell negative 4 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 3 over 7 end cell cell 1 over 7 end cell row cell negative 5 over 7 end cell cell 4 over 7 end cell end table close square brackets end cell end table.

Jadi, tidak ada jawaban yang tepat pada pilihan jawaban.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

4

Iklan

Iklan

Pertanyaan serupa

Diketahui P = [ − 7 − 2 ​ 1 0 ​ ] , Q = [ − 2 1 ​ 4 5 ​ ] dan R = [ − 4 0 ​ 1 − 2 ​ ] , tentukan hasil dari matriks berikut: b. 2 R 2 − 4 Q T

4

4.6

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia