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Pertanyaan

Tentukan nilai a,b,c, dan d dari kesamaan dua matriks berikut.

open parentheses table row cell a minus 4 end cell cell negative 8 end cell cell 2 d minus 3 end cell row b cell 2 c end cell cell negative 13 end cell end table close parentheses equals open parentheses table row cell 3 a end cell cell negative 8 end cell 11 row cell 2 b minus 5 end cell cell 3 c plus 8 end cell cell negative 13 end cell end table close parentheses

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Berdasarkan soal di atas, diperoleh persamaan:

open parentheses table row cell a minus 4 end cell cell negative 8 end cell cell 2 d minus 3 end cell row b cell 2 c end cell cell negative 13 end cell end table close parentheses equals open parentheses table row cell 3 a end cell cell negative 8 end cell 11 row cell 2 b minus 5 end cell cell 3 c plus 8 end cell cell negative 13 end cell end table close parentheses

table attributes columnalign right center left columnspacing 0px end attributes row cell a minus 4 end cell equals cell 3 a end cell row cell a minus 3 a end cell equals 4 row cell negative 2 a end cell equals 4 row a equals cell fraction numerator 4 over denominator negative 2 end fraction end cell row a equals cell negative 2 end cell row blank blank blank end table 

table attributes columnalign right center left columnspacing 0px end attributes row b equals cell 2 b minus 5 end cell row cell b minus 2 b end cell equals cell negative 5 end cell row cell negative b end cell equals cell negative 5 end cell row b equals 5 row blank blank blank end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 c end cell equals cell 3 c plus 8 end cell row cell 2 c minus 3 c end cell equals 8 row cell negative c end cell equals 8 row c equals cell negative 8 end cell row blank blank blank end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 d minus 3 end cell equals 11 row cell 2 d end cell equals cell 11 plus 3 end cell row cell 2 d end cell equals 14 row d equals cell 14 over 2 end cell row d equals 7 end table

Jadi, nilai a,b,c, dan d dari kesamaan dua matriks tersebut adalah negative 2, 5, negative 8, dan 7.

 

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