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Diketahui matriks dan , jika fungsi , maka matriks adalah….

Diketahui matriks  S equals open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets dan M equals open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets, jika fungsi f open parentheses S comma M close parentheses equals S squared minus M squared , maka matriks  f open parentheses S plus M comma S minus M close parentheses adalah….

  1. open square brackets table row 4 20 row 4 cell negative 40 end cell end table close square brackets

  2. open square brackets table row cell negative 20 end cell cell negative 16 end cell row 0 36 end table close square brackets

  3. open square brackets table row 4 50 row 6 3 end table close square brackets

  4. open square brackets table row 10 6 row 5 3 end table close square brackets

  5. open square brackets table row 20 10 row cell negative 12 end cell 3 end table close square brackets

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f open parentheses S comma M close parentheses equals S squared minus M squared  S plus M equals open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets plus open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets equals open square brackets table row 2 4 row 0 cell negative 6 end cell end table close square brackets  S minus M equals open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets minus open square brackets table row 1 2 row 0 cell negative 3 end cell end table close square brackets equals open square brackets table row 0 0 row 0 0 end table close square brackets    f open parentheses S plus M comma S minus M close parentheses equals open parentheses S plus M close parentheses squared minus open parentheses S minus M close parentheses squared  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets table row 2 4 row 0 cell negative 6 end cell end table close square brackets open square brackets table row 2 4 row 0 cell negative 6 end cell end table close square brackets minus open square brackets table row 0 0 row 0 0 end table close square brackets  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets table row cell 4 minus 24 end cell cell 8 minus 24 end cell row 0 36 end table close square brackets  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets table row cell negative 20 end cell cell negative 16 end cell row 0 36 end table close square brackets

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If A = ( 2 0 ​ 1 3 ​ ) and B = ( 2 0 ​ 2 3 ​ ) , find the matrices A 2 , B 2 , ( A + B ) ( A − B ) and A 2 − B 2 . Is A 2 − B 2 = ( A + B ) ( A − B ) ?

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