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Diketahui matriks , , dan . Jika , maka nilai  ada...

Diketahui matriks begin mathsize 14px style straight A equals open parentheses table row cell a plus 2 end cell cell 1 minus 3 b end cell row cell negative 1 end cell cell negative 6 end cell end table close parentheses end stylebegin mathsize 14px style straight B equals open parentheses table row cell 2 a end cell cell b minus 3 end cell row cell negative 1 end cell 2 end table close parentheses end style, dan begin mathsize 14px style straight C equals open parentheses table row 5 6 row cell negative 2 end cell cell negative 4 end cell end table close parentheses end style. Jika begin mathsize 14px style text A+B=C end text end style, maka nilai begin mathsize 14px style text a+b end text end style adalah ....

  1. begin mathsize 14px style horizontal ellipsis end style 

  2. begin mathsize 14px style horizontal ellipsis end style 

Jawaban:

Diketahui penjumlahan matriks begin mathsize 14px style text A+B=C end text end style, maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight A plus straight B end cell equals straight C row cell open parentheses table row cell a plus 2 end cell cell 1 minus 3 b end cell row cell negative 1 end cell cell negative 6 end cell end table close parentheses plus open parentheses table row cell 2 a end cell cell b minus 3 end cell row cell negative 1 end cell 2 end table close parentheses end cell equals cell open parentheses table row 5 6 row cell negative 2 end cell cell negative 4 end cell end table close parentheses end cell row cell open parentheses table row cell a plus 2 plus 2 a end cell cell 1 minus 3 b plus b minus 3 end cell row cell negative 1 plus left parenthesis negative 1 right parenthesis end cell cell negative 6 plus 2 end cell end table close parentheses end cell equals cell open parentheses table row 5 6 row cell negative 2 end cell cell negative 4 end cell end table close parentheses end cell row cell open parentheses table row cell 3 a plus 2 end cell cell negative 2 b minus 4 end cell row cell negative 2 end cell cell negative 4 end cell end table close parentheses end cell equals cell open parentheses table row 5 6 row cell negative 2 end cell cell negative 4 end cell end table close parentheses end cell end table end style 

Dari sifat kesamaan matriks didapatkan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 3 a plus 2 end cell equals 5 row cell 3 a end cell equals cell 5 minus 2 end cell row cell 3 a end cell equals 3 row a equals 1 end table end style        begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell negative 2 b minus 4 end cell equals 6 row cell negative 2 b end cell equals cell 6 plus 4 end cell row cell negative 2 b end cell equals cell negative 10 end cell row b equals 5 end table end style 

Dengan demikian, nilai dari begin mathsize 14px style a plus b equals 1 plus 5 equals 6 end style.

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