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Diketahui matriks nilai x+y yang memenuhi persamaan matriks AB - 2B = C adalah...

Diketahui matriks begin mathsize 12px style A equals open square brackets table row x 2 row cell negative 1 end cell y end table close square brackets comma space space space B equals open square brackets table row 2 1 row 0 1 end table close square brackets comma space dan space C equals open square brackets table row cell negative 2 end cell 1 row cell negative 2 end cell cell negative 2 end cell end table close square brackets end style nilai x+y yang memenuhi persamaan matriks AB - 2B = C adalah...

  1. 5

  2. 4

  3. 2

  4. 1

  5. -1

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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jadi, x + y = 1 + 1 = 2

begin mathsize 12px style A B equals open square brackets table row x 2 row cell negative 1 end cell y end table close square brackets open square brackets table row 2 1 row 0 1 end table close square brackets space space space space equals open square brackets table row cell 2 x plus 0 end cell cell x plus 2 end cell row cell negative 2 end cell cell negative 1 plus y end cell end table close square brackets space space space space equals open square brackets table row cell 2 x end cell cell x plus 2 end cell row cell negative 2 end cell cell negative 1 plus y end cell end table close square brackets  2 B equals 2 open square brackets table row 2 1 row 0 1 end table close square brackets equals open square brackets table row 4 2 row 0 2 end table close square brackets  Maka space A B space – space 2 B space equals space C open square brackets table row cell 2 x end cell cell x plus 2 end cell row cell negative 2 end cell cell negative 1 plus y end cell end table close square brackets minus open square brackets table row 4 2 row 0 2 end table close square brackets equals open square brackets table row cell negative 2 end cell 1 row cell negative 2 end cell cell negative 2 end cell end table close square brackets  Cari space nilai space straight x space dan space straight y 2 x space – space 4 space equals space minus 2 space space space space space space space space space space 2 x space equals space 2 space space space space space space space space space space space x space equals space 1  minus 1 plus y minus 2 equals negative 2 space space space space space space space y minus 3 equals negative 2 space space space space space space space space space space space y equals 3 minus 2 space space space space space space space space space space space y equals 1 end style

jadi, x + y = 1 + 1 = 2

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