OCR Further Pure Core 1 2017 Specimen — Question 8

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2017
SessionSpecimen
Topic3x3 Matrices
8
  1. Find the solution to the following simultaneous equations. $$\begin{array} { r r r } x + y + & z = & 3
    2 x + 4 y + 5 z = & 9
    7 x + 11 y + 12 z = & 20 \end{array}$$
  2. Determine the values of \(p\) and \(k\) for which there are an infinity of solutions to the following simultaneous equations. $$\begin{array} { r r r r } x + & y + & z = & 3
    2 x + & 4 y + & 5 z = & 9
    7 x + & 11 y + & p z = & k \end{array}$$
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