Pertanyaan

Diketahui matriks A = ( 4 2 7 5 ) dan B = ( 3 − 3 15 9 ) . Matriks M berordo 2 × 2 yang memenuhi persamaan AM = B adalah ....

$Diketahui matriks A = (4275) dan B = (3 - 3 159) . Matriks M berordo 2 \times 2 yang memenuhi persamaan AM = B adalah ....$

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

$open parentheses table row 4 7 row 2 5 end table close parentheses straight M space equals space open parentheses table row 3 15 row cell negative 3 end cell 9 end table close parentheses straight M space equals space fraction numerator 1 over denominator left parenthesis 4 right parenthesis left parenthesis 5 right parenthesis space minus space left parenthesis 2 right parenthesis left parenthesis 7 right parenthesis end fraction open parentheses table row 5 cell negative 7 end cell row cell negative 2 end cell 4 end table close parentheses open parentheses table row 3 15 row cell negative 3 end cell 9 end table close parentheses straight M space equals space 1 over 6 open parentheses table row cell left parenthesis 5 right parenthesis left parenthesis 3 right parenthesis plus left parenthesis negative 7 right parenthesis left parenthesis negative 3 right parenthesis end cell cell left parenthesis 5 right parenthesis left parenthesis 15 right parenthesis plus left parenthesis negative 7 right parenthesis left parenthesis 9 right parenthesis end cell row cell left parenthesis negative 2 right parenthesis left parenthesis 3 right parenthesis plus left parenthesis 4 right parenthesis left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 2 right parenthesis left parenthesis 15 right parenthesis plus left parenthesis 4 right parenthesis left parenthesis 9 right parenthesis end cell end table close parentheses straight M space equals space 1 over 6 open parentheses table row cell 15 plus 21 end cell cell 75 minus 63 end cell row cell negative 6 minus 12 end cell cell negative 30 plus 36 end cell end table close parentheses straight M space equals space 1 over 6 open parentheses table row 36 12 row cell negative 18 end cell 6 end table close parentheses straight M space equals space open parentheses table row 6 2 row cell negative 3 end cell 1 end table close parentheses$