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Tentukan nilai ( x , y , z ) dengan konsep OBE. ⎝ ⎛ ​ 2 − 2 4 ​ − 1 3 0 ​ 0 − 1 3 ​ ⎠ ⎞ ​ ⎝ ⎛ ​ x y z ​ ⎠ ⎞ ​ = ⎝ ⎛ ​ 6 − 4 7 ​ ⎠ ⎞ ​

Tentukan nilai  dengan konsep OBE.

  

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A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

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Pembahasan

Terlebih dahulu mengubah dalam bentuk matriks berikut :

Terlebih dahulu mengubah dalam bentuk matriks berikut :

open parentheses table row 2 cell negative 1 end cell 0 row cell negative 2 end cell 3 cell negative 1 end cell row 4 0 3 end table open vertical bar table row 6 row cell negative 4 end cell row 7 end table close vertical bar close parentheses Baris space 1 space colon 2 space left parenthesis agar space straight B subscript 11 equals 1 right parenthesis open parentheses table row 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell 0 row cell negative 2 end cell 3 cell negative 1 end cell row 4 0 3 end table open vertical bar table row 3 row cell negative 4 end cell row 7 end table close vertical bar close parentheses Baris space 2 space rightwards double arrow straight B subscript 2 plus 2 straight B subscript 1 space dan space Baris space 3 rightwards double arrow space 3 space straight B subscript 3 minus 4 straight B subscript 1 open parentheses table row 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell 0 row 0 2 cell negative 1 end cell row 0 2 3 end table open vertical bar table row 3 row 2 row cell negative 1 end cell end table close vertical bar close parentheses Baris space 2 rightwards double arrow straight B subscript 2 colon 2 open parentheses table row 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell 0 row 0 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell row 0 2 3 end table open vertical bar table row 3 row 1 row cell negative 1 end cell end table close vertical bar close parentheses Baris space 3 rightwards double arrow straight B subscript 3 minus 2 straight B subscript 2 open parentheses table row 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell 0 row 0 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell row 0 0 4 end table open vertical bar table row 3 row 1 row cell negative 3 end cell end table close vertical bar close parentheses Baris space 3 rightwards double arrow space straight B subscript 3 colon 4 open parentheses table row 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell 0 row 0 1 cell fraction numerator negative 1 over denominator 2 end fraction end cell row 0 0 1 end table open vertical bar table row 3 row 1 row cell fraction numerator negative 3 over denominator 4 end fraction end cell end table close vertical bar close parentheses Maka Baris space ke space 3 space diperoleh space straight z equals fraction numerator negative 3 over denominator 4 end fraction Baris space ke space 2 space diperoleh space straight y minus 1 half straight z equals 1 straight y equals 1 plus open parentheses 1 half close parentheses open parentheses fraction numerator negative 3 over denominator 4 end fraction close parentheses straight y equals 5 over 8 Baris space ke space 1 space diperoleh straight x plus straight y plus 0. straight z equals 3 straight x plus 5 over 8 equals 3 straight x equals negative 19 over 8  

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell Sehingga space diperoleh space nilai end cell row straight x equals cell 19 over 8 end cell row straight y equals cell 5 over 8 end cell row straight z equals cell fraction numerator negative 3 over denominator 4 end fraction end cell end table 

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