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Diketahui matriks A=(−21​3−1​) dan  B=(54​1310​). Jika matriks C=A+B,Invers matriks C adalah ....

Pertanyaan

Diketahui space matriks space straight A equals open parentheses table row cell negative 2 end cell 3 row 1 cell negative 1 end cell end table close parentheses space dan space space straight B equals open parentheses table row 5 13 row 4 10 end table close parentheses. space Jika space matriks space straight C equals straight A plus straight B comma  Invers space matriks space straight C space adalah space....

  1. 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

  2. negative 1 over 53 open parentheses table row 9 16 row cell negative 5 end cell 3 end table close parentheses

  3. negative 1 over 53 open parentheses table row 9 cell negative 16 end cell row 5 3 end table close parentheses

  4. negative 1 over 53 open parentheses table row 3 16 row 5 9 end table close parentheses

  5. negative 1 over 53 open parentheses table row cell negative 3 end cell 16 row 5 cell negative 9 end cell end table close parentheses

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

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Diketahui matriks-matriks: A=(21​12​); B=(11​10​); C=(11​−11​). Tentukan invers matriks (A+2B−3C).

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