Iklan

Pertanyaan

Diketahui matriks P = [ 4 3 ​ 2 1 ​ ] . Nilai k yang memenuhi k det(P t ) = det(P -1 ) adalah ....

Diketahui matriks P = . Nilai k yang memenuhi k det(Pt) = det(P-1) adalah ....

  1. -2

  2. negative 1 half

  3. 1 fourth

  4. 1 fourth

  5. 1

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

20

:

24

:

05

Klaim

Iklan

S. Dwi

Master Teacher

Jawaban terverifikasi

Pembahasan

P to the power of t space equals open square brackets table row 4 2 row 3 1 end table close square brackets rightwards arrow space d e t left parenthesis P t right parenthesis space equals space 4.1 space – space 3.2 space equals space minus 2 P to the power of negative 1 end exponent equals space minus 1 half space open square brackets table row 1 cell negative 3 end cell row cell negative 2 end cell 4 end table close square brackets space equals space open square brackets table row cell negative 1 half end cell cell 3 over 2 end cell row 1 cell negative 2 end cell end table close square brackets d e t left parenthesis P to the power of negative 1 end exponent right parenthesis space equals space left parenthesis negative 2 right parenthesis left parenthesis negative 1 half right parenthesis space – space left parenthesis 1 right parenthesis left parenthesis 3 over 2 right parenthesis space equals space 2 over 2 space minus space 3 over 2 space equals space minus 1 half S e h i n g g a space colon space k space d e t left parenthesis P to the power of t right parenthesis equals space d e t left parenthesis P to the power of negative 1 end exponent right parenthesis space k left parenthesis negative 2 right parenthesis space equals space minus 1 half space k space equals space 1 fourth. 

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

7

Iklan

Pertanyaan serupa

Diketahui A = ( 1 2 ​ − 1 k ​ 2 1 ​ ) , B = ( 0 1 ​ 3 1 ​ 2 − 1 ​ ) , ( A B T ) − 1 = ( a c ​ b d ​ ) dengan B T menyatakan transpose dari B. Jika det ( AB T ) = − 2 , maka nilai a + b + c + d =….

1

3.0

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 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia