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Pertanyaan

Jika dan , maka

Jika A equals open parentheses table row 1 1 row cell negative 1 end cell 1 end table close parentheses  dan B equals open parentheses table row 1 0 row 0 1 end table close parentheses, maka open parentheses A plus B close parentheses open parentheses A minus B close parentheses minus left parenthesis A minus B right parenthesis left parenthesis A plus B right parenthesis

  1. open parentheses table row 0 0 row 0 0 end table close parentheses

  2. 8 open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses

  3. open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses

  4. 16 open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses

  5. 4 open parentheses table row cell negative 1 end cell 0 row 0 1 end table close parentheses

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Maka,

A plus B equals open parentheses table row 1 1 row cell negative 1 end cell 1 end table close parentheses plus open parentheses table row 1 0 row 0 1 end table close parentheses equals open parentheses table row 2 1 row cell negative 1 end cell 2 end table close parentheses  A minus B equals open parentheses table row 1 1 row cell negative 1 end cell 1 end table close parentheses minus open parentheses table row 1 0 row 0 1 end table close parentheses equals open parentheses table row 0 1 row cell negative 1 end cell 0 end table close parentheses

Maka,

open parentheses A plus B close parentheses open parentheses A minus B close parentheses minus open parentheses A minus B close parentheses open parentheses A plus B close parentheses  equals open parentheses table row 2 1 row cell negative 1 end cell 2 end table close parentheses open parentheses table row 0 1 row cell negative 1 end cell 0 end table close parentheses minus open parentheses table row 0 1 row cell negative 1 end cell 0 end table close parentheses open parentheses table row 2 1 row cell negative 1 end cell 2 end table close parentheses  equals open parentheses table row cell 0 minus 1 end cell cell 2 plus 0 end cell row cell 0 minus 2 end cell cell negative 1 plus 0 end cell end table close parentheses minus open parentheses table row cell 0 minus 1 end cell cell 0 plus 2 end cell row cell negative 2 plus 0 end cell cell negative 1 plus 0 end cell end table close parentheses  equals open parentheses table row cell negative 1 end cell 2 row cell negative 2 end cell cell negative 1 end cell end table close parentheses minus open parentheses table row cell negative 1 end cell 2 row cell negative 2 end cell cell negative 1 end cell end table close parentheses  equals open parentheses table row 0 0 row 0 0 end table close parentheses

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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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