Pertanyaan

Diketahui matriks A = ( − 2 1 3 − 1 ) dan B = ( 5 4 13 10 ) . Jika matriks C = A + B , Invers matriks C adalah ....

$Diketahui matriks A = (- 2 1 3 - 1) dan B = (541310) . Jika matriks C = A + B, Invers matriks C adalah ....$

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$Ingat space kembali space aturan space invers space colon space straight M equals open parentheses table row straight a straight b row straight c straight d end table close parentheses straight M to the power of negative 1 end exponent equals fraction numerator 1 over denominator ad minus bc end fraction open parentheses table row straight d cell negative straight b end cell row cell negative straight c end cell straight a end table close parentheses Operasikan space matriks space untuk space mendapatkan space matriks space straight C C equals A plus B C equals open parentheses table row cell negative 2 end cell 3 row 1 cell negative 1 end cell end table close parentheses plus open parentheses table row 5 13 row 4 10 end table close parentheses C equals open parentheses table row 3 16 row 5 9 end table close parentheses Maka space invers space dari space matriks space straight C C to the power of negative 1 end exponent equals fraction numerator 1 over denominator left parenthesis 3.9 right parenthesis minus left parenthesis 16.5 right parenthesis end fraction open parentheses table row 9 cell negative 16 end cell row cell negative 5 end cell 3 end table close parentheses C to the power of negative 1 end exponent equals fraction numerator 1 over denominator 27 minus 80 end fraction open parentheses table row 9 cell negative 16 end cell row cell negative 5 end cell 3 end table close parentheses C to the power of negative 1 end exponent equals negative 1 over 53 open parentheses table row 9 cell negative 16 end cell row cell negative 5 end cell 3 end table close parentheses$