Matematika

Pertanyaan

Diketahui Matriks A = ( -2 1 , 3 -1 ) tentukan invers dari matriks tersebut

2 Jawaban

  • Rumus invers = 1/detAƗadjA
    Gambar lampiran jawaban Tasya2332
  • .......| -2....1 |
    A = | .3..-1 |

    Maka :

    .......................1..............| -1.....-1 |
    A^-1 = ------------------- .| -3...-2 |
    ............(-2)(-1) - (1)(3)

    ...........................|-1....-1|
    A^-1 = 1/(2 - 3)..|-3..-2|

    ....................|-1......-1|
    A^-1 = 1/-1...|-3....-2|

    ................|-1.......-1|
    A^-1 = -1.|-3......-2|

    ............|1.......1|
    A^-1 = |3.....2|

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