Nadya N

16 November 2023 15:11

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Nadya N

16 November 2023 15:11

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Diketahui matriks A ber ordo 3×3 seperti di gambar. Tentukan invers matriks A

Diketahui matriks A ber ordo 3×3 seperti di gambar. Tentukan invers matriks A

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Sumara S

17 November 2023 13:25

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<p>dari bentuk matrik A = | 1 &nbsp; 2 &nbsp; 0 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| -1 &nbsp;1 &nbsp; 2 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 2 &nbsp; 1 &nbsp; 0 |</p><p>diperoleh |A| = (0+8+0) - (0+2+0)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8 - 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;|A| = 6</p><p>adj A = | -2 &nbsp; -4 &nbsp; -3 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 0 &nbsp; &nbsp; 0 &nbsp; -3 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 4 &nbsp; &nbsp; 2 &nbsp; &nbsp;3 |</p><p>&nbsp;</p><p>A<sup>-1</sup> = 1/6 &nbsp;| -2 &nbsp; -4 &nbsp; -3 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 0 &nbsp; &nbsp; 0 &nbsp; -3 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 4 &nbsp; &nbsp; 2 &nbsp; &nbsp;3 |</p><p>A<sup>-1</sup> = &nbsp;| -1/3 &nbsp; -2/3 &nbsp; &nbsp;-½ |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; | 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;0 &nbsp; &nbsp; &nbsp; -½ |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; | 2/3 &nbsp; &nbsp;1/3 &nbsp; &nbsp; &nbsp;½ |</p><p>&nbsp;</p><p>pada pilihan tidak ada</p><p>semoga membantu.</p>

dari bentuk matrik A = | 1   2   0 |

                                               | -1  1   2 |

                                               | 2   1   0 |

diperoleh |A| = (0+8+0) - (0+2+0)

                           = 8 - 2

                     |A| = 6

adj A = | -2   -4   -3 |

               | 0     0   -3 |

               | 4     2    3 |

 

A-1 = 1/6  | -2   -4   -3 |

                   | 0     0   -3 |

                   | 4     2    3 |

A-1 =  | -1/3   -2/3    -½ |

            | 0          0       -½ |

            | 2/3    1/3      ½ |

 

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