Roboguru

Diketahui matriks  dan . Jika matriks , maka tentukan matriks !

Pertanyaan

Diketahui matriks begin mathsize 14px style straight A equals open parentheses table row cell negative 1 end cell 2 row 3 1 end table close parentheses end style dan begin mathsize 14px style straight B equals open parentheses table row 3 1 row cell negative 5 end cell cell negative 2 end cell end table close parentheses end style. Jika matriks begin mathsize 14px style straight A equals XB end style, maka tentukan matriks undefined

 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row A equals cell X B end cell row X equals cell A B to the power of negative 1 end exponent end cell row X equals cell open parentheses table row cell negative 1 end cell 2 row 3 1 end table close parentheses open parentheses table row 3 1 row cell negative 5 end cell cell negative 2 end cell end table close parentheses to the power of negative 1 end exponent end cell row X equals cell open parentheses table row cell negative 1 end cell 2 row 3 1 end table close parentheses open square brackets fraction numerator 1 over denominator open parentheses 3 close parentheses open parentheses negative 2 close parentheses minus open parentheses negative 5 close parentheses open parentheses 1 close parentheses end fraction open parentheses table row cell negative 2 end cell cell negative 1 end cell row 5 3 end table close parentheses close square brackets end cell row X equals cell open parentheses table row cell negative 1 end cell 2 row 3 1 end table close parentheses open square brackets fraction numerator 1 over denominator negative 1 end fraction open parentheses table row cell negative 2 end cell cell negative 1 end cell row 5 3 end table close parentheses close square brackets end cell row X equals cell open parentheses table row cell negative 1 end cell 2 row 3 1 end table close parentheses open parentheses table row 2 1 row cell negative 5 end cell cell negative 3 end cell end table close parentheses space end cell row X equals cell open parentheses table row cell negative 12 end cell cell negative 7 end cell row 1 0 end table close parentheses end cell end table end style 

Jadi, matriks table attributes columnalign right center left columnspacing 0px end attributes row X equals cell open parentheses table row cell negative 12 end cell cell negative 7 end cell row 1 0 end table close parentheses end cell end table .

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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