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Pertanyaan

Nilai a + b + cmemenuhi persamaan matriks: [ 1 − 2 ​ 2 3 ​ ] [ c 3 c ​ a 2 a ​ ] = [ 8 a 16 b ​ 4 9 c ​ ] − [ a 2 b ​ − 6 5 c ​ ] adalah...

Nilai a + b + c memenuhi persamaan matriks:

adalah...

  1. 2

  2. 3

  3. 4

  4. 5

  5. 6

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style open square brackets table row 1 2 row cell negative 2 end cell 3 end table close square brackets open square brackets table row straight c straight a row cell 3 straight c end cell cell 2 straight a end cell end table close square brackets equals open square brackets table row cell 8 straight a end cell 4 row cell 16 straight b end cell cell 9 straight c end cell end table close square brackets minus open square brackets table row straight a cell negative 6 end cell row cell 2 straight b end cell cell 5 straight c end cell end table close square brackets open square brackets table row cell straight c plus 6 straight c end cell cell straight a plus 4 straight a end cell row cell negative 2 straight c plus 9 straight c end cell cell negative 2 straight a plus 6 straight a end cell end table close square brackets equals open square brackets table row cell 7 straight a end cell 10 row cell 14 straight b end cell cell 4 straight c end cell end table close square brackets open square brackets table row cell 7 straight c end cell cell 5 straight a end cell row cell 7 straight c end cell cell 4 straight a end cell end table close square brackets equals open square brackets table row cell 7 straight a end cell 10 row cell 14 straight b end cell cell 4 straight c end cell end table close square brackets comma space sehingga space didapatkan 5 straight a space equals space 10 space left right arrow straight a equals 2 7 straight c equals 7 straight a left right arrow 7 left parenthesis 2 right parenthesis equals 14 straight b left right arrow straight b equals 1 Sehingga space nilai space straight a plus straight b plus straight c equals 2 plus 2 plus 1 equals 5 end style

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D ik e t ah u i ma t r ik s A = ( − 2 c 2 ​ 4 5 ​ ) , B = ( − 4 − b − 5 ​ − a b ​ ) , C = ( − 1 0 ​ 3 2 ​ ) , D = ( 4 − 2 ​ 1 3 ​ ) J ika A + B = C D , ni l ai d a r i a + b + c = ....

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