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Given a matrix used to perform Gaussian Elimination like this:

$$ \begin{bmatrix} 1 & -3 & | & 1 \\ 2 & -7 & | & 3 \end{bmatrix} $$

Which would be derived from a system of equations like this:

$$ \begin{cases} x - 3y = 1 \\ 2x - 7y = 3 \end{cases} $$

Do the different "sides", i.e. the parts that come from the right hand side of the equation and the part that comes from the left hand side of the equation, respectively, have names?

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    $\begingroup$ This comment doesn't answer your question, but it's called an augmented matrix $\endgroup$
    – J. W. Tanner
    Oct 8, 2021 at 20:56
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    $\begingroup$ The left side is the coefficient matrix, and the right side is the column vector of constant terms $\endgroup$
    – J. W. Tanner
    Oct 8, 2021 at 21:00
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    $\begingroup$ @J.W.Tanner that sounds like an answer, thanks! How come you post it as a comment? $\endgroup$
    – Newbyte
    Oct 9, 2021 at 9:11
  • $\begingroup$ Sorry; I'll post it as an answer now $\endgroup$
    – J. W. Tanner
    Oct 10, 2021 at 2:03

1 Answer 1

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The left side is the coefficient matrix, and the right side is the column vector of constant terms.

Together, they comprise an augmented matrix.

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