| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2004 |
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| Session | November |
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| Topic | 3x3 Matrices |
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1 The linear transformation \(\mathrm { T } : \mathbb { R } ^ { 4 } \rightarrow \mathbb { R } ^ { 4 }\) is represented by the matrix
$$\left( \begin{array} { r r r r }
1 & 5 & 2 & 6
2 & 0 & - 1 & 7
3 & - 1 & - 2 & 10
4 & 10 & 13 & 29
\end{array} \right)$$
Find the dimension of the null space of T .