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Year 12 Specialist (Unit 3 & 4) Further matrices

Matrix solution of larger systems

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Question 1
196359
The system \(x+2y+z=4\), \(3x-y+2z=9\) and \(2x+y-z=1\) is written as \(A\mathbf{x}=\mathbf{b}\). Which matrix is the coefficient matrix \(A\)?
A.
\(\begin{pmatrix}1 & 2 & 1\\ 3 & -1 & 2\\ 2 & 1 & -1\end{pmatrix}\)
B.
\(\begin{pmatrix}1 & 3 & 2\\ 2 & -1 & 1\\ 1 & 2 & -1\end{pmatrix}\)
C.
\(\begin{pmatrix}1 & 2 & 1\\ 3 & 1 & 2\\ 2 & 1 & 1\end{pmatrix}\)
D.
\(\begin{pmatrix}1 & 2 & 4\\ 3 & -1 & 9\\ 2 & 1 & 1\end{pmatrix}\)
\(\begin{pmatrix}1 & 2 & 1\\ 3 & -1 & 2\\ 2 & 1 & -1\end{pmatrix}\)

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