CAPE Pure Mathematics Unit 2 · May/June 2013 · Paper 2 · Question 5(b)(i)
The augmented matrix for a system of three linear equations with variables x, y and z respectively is A = \begin{pmatrix} 1 & 1 & -1 & | & 1 \\ -5 & 1 & 1 & | & 2 \\ 1 & -5 & 3 & | & 3 \end{pmatrix}. By reducing the augmented matrix to echelon form, determine whether or not the system of linear equations is consistent.
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