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Pertanyaan

Diketahui persamaan matriks A = 2B T dengan dan Nilai c adalah....

Diketahui persamaan matriks A = 2BT  dengan A equals open square brackets table row a 4 row cell 2 b end cell cell 3 c end cell end table close square brackets dan B equals open square brackets table row cell 2 c minus 3 b end cell cell 2 a plus 1 end cell row a cell b plus 7 end cell end table close square brackets Nilai c adalah....

  1. 9

  2. 7

  3. 5

  4. 8

  5. 6

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

maka diperoleh

begin mathsize 12px style B equals open square brackets table row cell 2 c minus 3 b end cell cell 2 a plus 1 end cell row a cell b plus 7 end cell end table close square brackets rightwards arrow B to the power of T equals open square brackets table row cell 2 c minus 3 b end cell a row cell 2 a plus 1 end cell cell b plus 7 end cell end table close square brackets 2 B to the power of T equals open square brackets table row cell 4 c minus 6 b end cell cell 2 a end cell row cell 4 a plus 2 end cell cell 2 b plus 14 end cell end table close square brackets    A equals 2 B to the power of T open square brackets table row a 4 row cell 2 b end cell cell 3 c end cell end table close square brackets equals open square brackets table row cell 4 c minus 6 b end cell cell 2 a end cell row cell 4 a plus 2 end cell cell 2 b plus 14 end cell end table close square brackets end style

maka diperoleh

begin mathsize 12px style 2 a equals 4 a equals 2 4 a plus 2 equals 2 b rightwards arrow 4 open parentheses 2 close parentheses plus 2 equals 2 b 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 space space space 10 equals 2 b rightwards arrow b equals 5 space 4 c minus 6 b equals a 4 c minus 6 open parentheses 5 close parentheses equals 2 space space 4 c minus 30 equals 2 space space space space space space space space space space space 4 c equals 32 space space space space space space space space space space space space space space c equals 8 end style

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