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Diketahui matriks dan Jika A . B = C t + D dengan C t adalah transpose dari matriks C, maka nilai p + q + r + s =….

Diketahui matriks A equals open square brackets table row 2 cell negative 3 end cell row 4 1 end table close square brackets comma space B equals open square brackets table row 4 cell negative 2 end cell row 2 cell negative 5 end cell end table close square brackets comma space space equals open square brackets table row 3 15 row 7 cell negative 10 end cell end table close square brackets space dan space D equals open square brackets table row p q row r s end table close square brackets Jika dengan  adalah transpose dari matriks C, maka nilai p + q + r + s =….

  1. - 6

  2. -3

  3. 1

  4. 3

  5. 4

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A. Acfreelance

Master Teacher

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Maka,

C to the power of t equals open square brackets table row 3 7 row 15 cell negative 10 end cell 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 A. B equals C to the power of t plus D  open square brackets table row 2 cell negative 3 end cell row 4 1 end table close square brackets. open square brackets table row 4 cell negative 2 end cell row 2 cell negative 5 end cell end table close square brackets equals C to the power of t plus D  open square brackets table row cell 8 minus 6 end cell cell negative 4 plus 15 end cell row cell 16 plus 2 end cell cell negative 8 minus 5 end cell end table close square brackets equals C to the power of t plus D space  space space space space space space space space space space space space space space space open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets equals C to the power of t plus D space  space space space space space space space space space space space space space space space open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets equals open square brackets table row 3 7 row 15 cell negative 10 end cell end table close square brackets plus D 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 D equals open square brackets table row 2 11 row 18 cell negative 13 end cell end table close square brackets minus open square brackets table row 3 7 row 15 cell negative 10 end cell 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 D equals open square brackets table row cell negative 1 end cell 4 row 3 cell negative 3 end cell 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 open square brackets table row p q row r s end table close square brackets equals open square brackets table row cell negative 1 end cell 4 row 3 cell negative 3 end cell end table close square brackets

Maka,

p equals space minus 1 space  q equals 4  space r equals 3 space  s equals negative 3 space    p space plus space q space plus space r space plus space s space equals space minus 1 space plus space 4 space plus space 3 space minus space 3 space equals space 3

Latihan Bab

Konsep Kilat

Pengertian Matriks

Operasi Hitung Matriks

Invers Matriks

186

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Diketahui Matriks K = [ 1 2 ​ − 5 3 ​ ] , L = [ 3 − 1 ​ − 2 4 ​ ] dan M = [ 3 5 ​ − 4 − 2 ​ ] . Jika berlaku P = K − L M . Transpos Matriks P adalah ....

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