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Math Help - Elementary Row Operations

  1. #1
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    Elementary Row Operations

    I'm doing homework and checking my answers with the appendices in the back of our textbook. I have this matrix that I'm supposed to turn into an elementary matrix:

    \begin{bmatrix}1 & 0 & 4 \\0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}

    The book says 4R3 + R1 -> R1, but doesn't make into a elementary matrix. Shouldn't it be -4R3 + R1 -> R1?
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  2. #2
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    Re: Elementary Row Operations

    I'll just follow my gut. Maybe it's a mistake in the textbook
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  3. #3
    Junior Member FelixFelicis28's Avatar
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    Re: Elementary Row Operations

    Quote Originally Posted by amthomasjr View Post
    I'm doing homework and checking my answers with the appendices in the back of our textbook. I have this matrix that I'm supposed to turn into an elementary matrix:

    \begin{bmatrix}1 & 0 & 4 \\0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}

    The book says 4R3 + R1 -> R1, but doesn't make into a elementary matrix. Shouldn't it be -4R3 + R1 -> R1?
    Yes, you're correct, it should be:

    R_1 \to R_1 - 4R_3
    Last edited by FelixFelicis28; September 4th 2013 at 07:46 PM.
    Thanks from amthomasjr and HallsofIvy
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