Matematika

Pertanyaan

Diketahui persamaan matriks (2 7
5 3)X = (-3 8
7 -9). Determinan matriks X adalah

1 Jawaban

  • AX = B
    A^-1 . AX = A^-1 B
    X = A^-1 B
    X = 1/(6-35) (3 -7 -5 2)(-3 8 7 -9)
    X = -1/29 (-9-49 15+14 24+63 -40-18)
    X = (-1/29)(-58 29 87 -58)
    X = (2 -1 -3 2)
    Det X = (2x2 - (-1)(-3)) = 4 - 3 = 1

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