OCR FP1 2006 January — Question 3

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJanuary
Topic3x3 Matrices

3 The matrix \(\mathbf { M }\) is given by \(\mathbf { M } = \left( \begin{array} { l l l } 2 & 1 & 3
1 & 2 & 1
1 & 1 & 3 \end{array} \right)\).
  1. Find the value of the determinant of \(\mathbf { M }\).
  2. State, giving a brief reason, whether \(\mathbf { M }\) is singular or non-singular.