Pertanyaan

Diketahui matriks-matriks Pasangan matriks yang saling invers adalah….

A dan B
B dan D
A dan C
B dan C
C dan D

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Jawaban terverifikasi

Pembahasan

Invers A Invers B Maka, matriks B dan C saling invers.

Invers A

$A equals open parentheses table row 2 3 row 5 7 end table close parentheses A to the power of negative 1 end exponent equals fraction numerator 1 over denominator 14 minus 15 end fraction open parentheses table row 7 cell negative 3 end cell row cell negative 5 end cell 2 end table close parentheses A to the power of negative 1 end exponent equals fraction numerator 1 over denominator negative 1 end fraction open parentheses table row 7 cell negative 3 end cell row cell negative 5 end cell 2 end table close parentheses A to the power of negative 1 end exponent equals open parentheses table row cell negative 7 end cell 3 row 5 cell negative 2 end cell end table close parentheses$

Invers B

$B equals open parentheses table row cell negative 2 end cell cell negative 3 end cell row cell negative 5 end cell cell negative 7 end cell end table close parentheses B to the power of negative 1 end exponent equals fraction numerator 1 over denominator 14 minus 15 end fraction open parentheses table row cell negative 7 end cell 3 row 5 cell negative 2 end cell end table close parentheses B to the power of negative 1 end exponent equals fraction numerator 1 over denominator negative 1 end fraction open parentheses table row cell negative 7 end cell 3 row 5 cell negative 2 end cell end table close parentheses B to the power of negative 1 end exponent equals open parentheses table row 7 cell negative 3 end cell row cell negative 5 end cell 2 end table close parentheses equals C$

Maka, matriks B dan C saling invers.