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Pertanyaan

Jika P = ( 1 2 ​ − 1 − 1 ​ ) dan I = ( 1 0 ​ 0 1 ​ ) , maka

Jika  dan  maka size 12px space size 12px – size 12px P to the power of size 12px 4 size 12px space size 12px plus size 12px space size 12px 2 size 12px P to the power of size 12px 3 size 12px space size 12px – size 12px space size 12px 3 size 12px P to the power of size 12px 2 size 12px space size 12px plus size 12px space size 12px 4 size 12px I size 12px space size 12px equals size 12px horizontal ellipsis size 12px.

  1. -2P

  2. -P

  3. P

  4. 2P

  5. 1

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Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

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begin mathsize 12px style text Diketahui end text space P equals open parentheses table row 1 cell negative 1 end cell row 2 cell negative 1 end cell end table close parentheses comma space I equals open parentheses table row 1 0 row 0 1 end table close parentheses P squared equals open parentheses table row 1 cell negative 1 end cell row 2 cell negative 1 end cell end table close parentheses open parentheses table row 1 cell negative 1 end cell row 2 cell negative 1 end cell end table close parentheses equals open parentheses table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close parentheses equals negative 1 open parentheses table row 1 0 row 0 1 end table close parentheses equals negative I text Sehingga: end text – P to the power of 4 space plus space 2 P cubed space – space 3 P to the power of 2 space end exponent plus space 4 I space equals negative open parentheses P squared close parentheses squared plus 2 open parentheses P squared close parentheses P minus 3 open parentheses P squared close parentheses plus 4 I 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 space space space space space space space space space space space equals negative open parentheses negative I close parentheses squared plus 2 open parentheses negative I close parentheses P minus 3 minus open parentheses I close parentheses plus 4 I space space space space left parenthesis text ingat : dalam matriks IA=A) end text 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 space space space space space space space space space space space equals negative 2 P end style

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Sebuah matriks dikatakan orthogonal jika A − 1 = A T . J ika A = ⎝ ⎛ ​ 7 3 ​ b 7 2 ​ ​ 7 2 ​ 7 3 ​ 7 6 ​ ​ a 7 2 ​ c ​ ⎠ ⎞ ​ adalah matriks orthogonal makaa 2 + b 2 + c 2 = ....

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