Diketahui dan Jika AB = C, maka A = ....

Pertanyaan

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui

AB = C

Karena yang ditanyakan adalah matriks A, maka matriks B di ruas kiri dihilangkan dengan cara dikalikan dengan matriks di kanan menjadi seperti berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell ABB to the power of negative 1 end exponent end cell equals cell CB to the power of negative 1 end exponent end cell row straight A equals cell CB to the power of negative 1 end exponent end cell row straight A equals cell open parentheses table row 2 4 row 3 cell negative 2 end cell end table close parentheses fraction numerator 1 over denominator 0 open parentheses negative 1 close parentheses minus 2 open parentheses 1 close parentheses end fraction open parentheses table row cell negative 1 end cell cell negative 2 end cell row cell negative 1 end cell 0 end table close parentheses end cell row blank equals cell open parentheses table row 2 4 row 3 cell negative 2 end cell end table close parentheses fraction numerator 1 over denominator negative 2 end fraction open parentheses table row cell negative 1 end cell cell negative 2 end cell row cell negative 1 end cell 0 end table close parentheses end cell row blank equals cell open parentheses table row 2 4 row 3 cell negative 2 end cell end table close parentheses open parentheses table row cell 1 half end cell 1 row cell 1 half end cell 0 end table close parentheses end cell row blank equals cell open parentheses table row cell 1 plus 2 end cell cell 2 plus 0 end cell row cell 3 over 2 minus 1 end cell cell 3 plus 0 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 2 row cell 1 half end cell 3 end table close parentheses end cell row blank blank blank end table end style$