Isnaeni N

20 November 2023 13:52

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Isnaeni N

20 November 2023 13:52

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Nomer 2 a dan b

Nomer 2 a dan b

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Sumara S

21 November 2023 02:33

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<p>dik: matriks P = ( 4 &nbsp; &nbsp;-1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;( x &nbsp; &nbsp; -3)</p><p>dit: a. P<sup>-1</sup>...?</p><p>&nbsp; &nbsp; &nbsp; &nbsp; b. P ....?</p><p>Lesaian:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;a. |P| = (-3).4 - (-1).x</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2 &nbsp;= -12 + x</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp;= 14</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; P = ( 4 &nbsp; &nbsp; &nbsp; &nbsp;-1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ( 14 &nbsp; &nbsp; -3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; P<sup>-1</sup> = ½ | -3 &nbsp; &nbsp; &nbsp;1|</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| -14 &nbsp; &nbsp;4|</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; b. P<sup>-1</sup> = &nbsp;| 3 &nbsp; &nbsp; -1|</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; | 11 &nbsp; -4|</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<sup>1</sup>/<sub>-12+11</sub> | d &nbsp; -b | &nbsp;= &nbsp;|3 &nbsp; &nbsp; &nbsp;-1 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| -c &nbsp; &nbsp;a | &nbsp; &nbsp; &nbsp;| 11 &nbsp; -4 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| -d &nbsp; b | &nbsp;= &nbsp;|3 &nbsp; &nbsp; &nbsp;-1 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| c &nbsp; &nbsp;-a | &nbsp; &nbsp; &nbsp;| 11 &nbsp; -4 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;P = | a &nbsp; &nbsp;b |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| c &nbsp; d |</p><p>dari invers matrik P diperoleh:</p><p>-a = -4 &lt;=&gt; a = 4</p><p>b = -1</p><p>c = 11</p><p>-d = 3 &lt;=&gt; d = -3</p><p>jadi, matriks P = &nbsp;| 4 &nbsp; &nbsp; -1 |</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;| 11 &nbsp; -3 |</p><p>semoga membantu.</p>

dik: matriks P = ( 4    -1)

                                 ( x     -3)

dit: a. P-1...?

        b. P ....?

Lesaian:

                 a. |P| = (-3).4 - (-1).x

                        2  = -12 + x

                         x  = 14

                      P = ( 4        -1)

                              ( 14     -3)

                      P-1 = ½ | -3      1|

                                     | -14    4|

                b. P-1 =  | 3     -1|

                                | 11   -4|

                    1/-12+11 | d   -b |  =  |3      -1 |

                                   | -c    a |      | 11   -4 |

                                   | -d   b |  =  |3      -1 |

                                   | c    -a |      | 11   -4 |

                   P = | a    b |

                           | c   d |

dari invers matrik P diperoleh:

-a = -4 <=> a = 4

b = -1

c = 11

-d = 3 <=> d = -3

jadi, matriks P =  | 4     -1 |

                                   | 11   -3 |

semoga membantu.


Isnaeni N

21 November 2023 04:53

makasihh

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