Iklan

Iklan

Pertanyaan

Diketahui matriks dan Jika A . B = C t + D dengan C t adalah transpose dari matriks C, maka nilai p + q + r + s =….

Diketahui matriks A equals open square brackets table row 2 cell negative 3 end cell row 4 1 end table close square brackets comma space B equals open square brackets table row 4 cell negative 2 end cell row 2 cell negative 5 end cell end table close square brackets comma space space equals open square brackets table row 3 15 row 7 cell negative 10 end cell end table close square brackets space dan space D equals open square brackets table row p q row r s end table close square brackets Jika dengan  adalah transpose dari matriks C, maka nilai p + q + r + s =….

  1. - 6

  2. -3

  3. 1

  4. 3

  5. 4

Iklan

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Iklan

Pembahasan

Maka,

C to the power of t equals open square brackets table row 3 7 row 15 cell negative 10 end cell end table close square brackets  space space space space space space space space space space space space space space space space space space space space space space space space space space space A. B equals C to the power of t plus D  open square brackets table row 2 cell negative 3 end cell row 4 1 end table close square brackets. open square brackets table row 4 cell negative 2 end cell row 2 cell negative 5 end cell end table close square brackets equals C to the power of t plus D  open square brackets table row cell 8 minus 6 end cell cell negative 4 plus 15 end cell row cell 16 plus 2 end cell cell negative 8 minus 5 end cell end table close square brackets equals C to the power of t plus D space  space space space space space space space space space space space space space space space open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets equals C to the power of t plus D space  space space space space space space space space space space space space space space space open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets equals open square brackets table row 3 7 row 15 cell negative 10 end cell end table close square brackets plus D space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space D equals open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets minus open square brackets table row 3 7 row 15 cell negative 10 end cell end table close square brackets  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space D equals open square brackets table row cell negative 1 end cell 4 row 3 cell negative 3 end cell end table close square brackets  space space space space space space space space space space space space space space space space space space space space open square brackets table row p q row r s end table close square brackets equals open square brackets table row cell negative 1 end cell 4 row 3 cell negative 3 end cell end table close square brackets

Maka,

p equals space minus 1 space  q equals 4  space r equals 3 space  s equals negative 3 space    p space plus space q space plus space r space plus space s space equals space minus 1 space plus space 4 space plus space 3 space minus space 3 space equals space 3

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

11

Iklan

Iklan

Pertanyaan serupa

Diketahui Matriks K = [ 1 2 ​ − 5 3 ​ ] , L = [ 3 − 1 ​ − 2 4 ​ ] dan M = [ 3 5 ​ − 4 − 2 ​ ] . Jika berlaku P = K − L M . Transpos Matriks P adalah ....

199

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

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