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Diketahui matriks. Nilai x+y yang memenuhi

Diketahui matriksbegin mathsize 14px style straight A equals open parentheses table row straight x 1 row cell negative 1 end cell straight y end table close parentheses comma space straight B equals open parentheses table row 3 2 row 1 0 end table close parentheses space dan space straight C equals open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses end style. Nilai x+y yang memenuhi begin mathsize 14px style AB minus 2 straight B equals straight C end style 

Jawaban:

begin mathsize 14px style AB minus 2 straight B equals straight C open parentheses table row straight x 1 row cell negative 1 end cell straight y end table close parentheses open parentheses table row 3 2 row 1 0 end table close parentheses minus 2 open parentheses table row 3 2 row 1 0 end table close parentheses equals open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses open parentheses table row cell 3 straight x plus 1 end cell cell 2 straight x end cell row cell negative 3 plus straight y end cell cell negative 2 end cell end table close parentheses minus open parentheses table row 6 4 row 2 0 end table close parentheses equals open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses open parentheses table row cell 3 straight x minus 5 end cell cell 2 straight x minus 4 end cell row cell straight y minus 5 end cell cell negative 2 end cell end table close parentheses equals open parentheses table row 1 0 row cell negative 1 end cell 2 end table close parentheses 3 straight x minus 5 equals 1 rightwards arrow straight x equals 2 straight y minus 5 equals negative 1 rightwards arrow straight y equals 4 end style

Jadi, nilai begin mathsize 14px style x plus y equals 2 plus 4 equals 6 end style.

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