Roboguru

Diketahui matriks A= dan B=. Invers dari matriks A= B adalah ...

Diketahui matriks A=open parentheses table row cell 2 space space space space 0 end cell row cell negative 4 space space space space 1 end cell end table close parentheses dan B=open parentheses table row cell 1 space space space space 3 end cell row cell space 3 space space space minus 8 end cell end table close parentheses. Invers dari matriks A= B adalah ...

 

  1. negative 1 over 18 open parentheses table row cell negative 7 space space space 3 end cell row cell 1 space space space minus 3 end cell end table close parentheses

  2. negative 1 over 18 open parentheses table row cell negative 7 space space space minus 3 end cell row cell 1 space space space space space space space 3 end cell end table close parentheses

  3. negative 1 over 18 open parentheses table row cell 7 space space space minus 3 end cell row cell 1 space space space space space space space 3 end cell end table close parentheses

  4. negative 1 over 18 open parentheses table row cell negative 7 space space space minus 3 end cell row cell negative 1 space space space space space space space 3 end cell end table close parentheses

  5. negative 1 over 18 open parentheses table row cell negative 7 space space space 3 end cell row cell negative 1 space space space 3 end cell end table close parentheses

Jawaban:

J i k a space C equals open parentheses table row cell a space space space b end cell row cell c space space space d end cell end table close parentheses comma space m a k a  C to the power of negative 1 end exponent equals fraction numerator 1 over denominator open vertical bar C close vertical bar end fraction A d j left parenthesis C right parenthesis  A d j left parenthesis C right parenthesis equals open parentheses table row cell d space space space minus b end cell row cell negative c space space space a end cell end table close parentheses  open vertical bar C close vertical bar equals d e t left parenthesis C right parenthesis equals a d minus b c  M a k a colon  C equals A plus B  C equals open parentheses table row cell 2 space space space 0 end cell row cell negative 4 space space space space 1 end cell end table close parentheses plus open parentheses table row cell 1 space space space 3 end cell row cell 3 space space space minus 8 end cell end table close parentheses equals open parentheses table row cell 3 space space space 3 end cell row cell negative 1 space space space minus 7 end cell end table close parentheses  open vertical bar C close vertical bar equals space d e t left parenthesis C right parenthesis equals space a d minus b c equals left parenthesis 3. left parenthesis negative 7 right parenthesis right parenthesis space minus space left parenthesis 3. left parenthesis negative 1 right parenthesis right parenthesis equals negative 21 minus left parenthesis negative 31 right parenthesis  S e h i n g g a colon  C to the power of negative 1 end exponent equals negative 1 over 18 open parentheses table row cell negative 7 space space space minus 3 end cell row cell 1 space space space space 3 end cell end table close parentheses equals negative 1 over 18 open parentheses table row cell negative 7 space space minus 3 end cell row cell 1 space space space space 3 end cell end table close parentheses

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