Year 12 Specialist (Unit 3 & 4)
Further matrices
Simultaneous equations (three or more variables)
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Question 1
196339
The system \(2x+3y-z=4\), \(x-y+2z=1\) and \(3x+y+z=7\) is written in the form \(A\mathbf{x}=\mathbf{b}\). Which matrix is the coefficient matrix \(A\)?
\(\begin{pmatrix}2 & 3 & -1\\ 1 & -1 & 2\\ 3 & 1 & 1\end{pmatrix}\)
\(\begin{pmatrix}2 & 1 & 3\\ 3 & -1 & 1\\ -1 & 2 & 1\end{pmatrix}\)
\(\begin{pmatrix}2 & 3 & 1\\ 1 & 1 & 2\\ 3 & 1 & 1\end{pmatrix}\)
\(\begin{pmatrix}2 & 3 & -1\\ 1 & -1 & 2\\ 3 & 1 & 7\end{pmatrix}\)
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