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Write the system as a matrix equation and solve using inverses.

x1 + 2x2 - x3 = -3
-2x1 - x2 + 3x3 = 0
-4x1 + 4x2 - x3 = -12
A. x1 = 2, x2 = -3, x3 = 1
B. x1 = 1, x2 = -2, x3 = 1
C. x1 = 1, x2 = -2, x3 = 0
D. x1 = 1, x2 = -3, x3 = 1

  • maths -

    this one seems difficult...plz help

  • maths -

    You have an equation AX=B
    where
    A =
    (1 2 -3)
    (-2 -1 3)
    (-4 4 -1)
    and
    B =
    (-3)
    (0)
    (-12)

    A-1 = 1/3 times
    (11 10 -3)
    (14 13 -3)
    (12 12 -3)

    So, X = A-1B = (1,-2,0)

  • maths -

    fabulous

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