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Linear transformations in Euclidean n-space can be represented by square matrices of the order EQN:n x EQN:n. For example, the matrix representing a reflection in the line EQN:y=x in 2-dimensional space looks like this: * EQN:\left[\begin{matrix}0&1\\1&0\end{matrix}\right] ... and the matrix representing an enlargement in 3-dimensional space, scale-factor EQN:k , centred at the origin looks like this: * EQN:\left[\begin{matrix}k&0&0\\0&k&0\\0&0&k\end{matrix}\right] Successive transformations can also be represented by a single composite matrix. If 3 transformations, represented by the matrices EQN:T_1, EQN:T_2 and EQN:T_3, are performed in that order, then the composite matrix would be the product EQN:T_3T_2T_1 (note that this is not necessarily the same as EQN:T_1T_2T_3 as matrix multiplication is non-commutative).