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Math Help - matrix

  1. #1
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    matrix

    (a) Suppose that the augmented matrix for a system of equations reduces to
    row1 1 0 0 0 -1
    row2 0 1 0 0 2
    row3 0 0 1 0 0
    row4 0 0 0 1 -4
    :
    Write the solution if the variables are x; y; z and w, respectively.

    (b)What is the solution to the system in (a) if the second row is replaced by
    0 0 0 0 1 ?
    (c) What is the solution to the system in (a) if the second row is replaced by
    0 0 0 0 0 ?
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  2. #2
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    Quote Originally Posted by trythis View Post
    (a) Suppose that the augmented matrix for a system of equations reduces to
    row1 1 0 0 0 -1
    row2 0 1 0 0 2
    row3 0 0 1 0 0
    row4 0 0 0 1 -4
    :
    Write the solution if the variables are x; y; z and w, respectively.

    (b)What is the solution to the system in (a) if the second row is replaced by
    0 0 0 0 1 ?
    (c) What is the solution to the system in (a) if the second row is replaced by
    0 0 0 0 0 ?
    a) is easy

    x = -1, y = 2, z = 0, w = -4.

    b) is nonsense because then you get w = 2 and w = 4 at the same time. You also don't get anything for y.

    c) Gives the same answers for x, z and w, but y is arbitrary.
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