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Math Help - [SOLVED] Solutions of four linear systems

  1. #1
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    [SOLVED] Solutions of four linear systems

    I'm having trouble reading this matrix:

    1 0 0 4 -1
    0 1 0 2 6
    0 0 1 3 2

    x1 = -1
    x2 = 6
    x3 = 2

    Is this correct? The 4,2,3 column confuses me.
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  2. #2
    Newbie bletchley's Avatar
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    Looks like an augmented matrix to me. A matrix of that form generally represents 3 equations with 4 variables.

    <br />
1x_1 + 0x_2 + 0x_3 + 4x_4 = -1<br />
    <br />
0x_1 + 1x_2 + 0x_3 + 2x_4 = 6<br />
    <br />
0x_1 + 0x_2 + 1x_3 + 3x_4 = 2<br />
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  3. #3
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    Yes indeed, it had slipped my mind. I totally forgot to isolate the x1,2,3 and bring the free variable to the other side. Thank you.
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