Direct linear transformation: Difference between revisions

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== Example ==
 
Suppose that <math> k \in \mathbb{1, ..., N\} </math>. Let <math> \mathbf{x}_{k} = (x_{1k}, x_{2k}) \in \mathbb{R}^{2} </math> and <math> \mathbf{y}_{k} = (y_{1k}, y_{2k}, y_{3k}) \in \mathbb{R}^{3} </math> be two known vectors, and we want to find the <math> 2 \times 3 </math> matrix <math> \mathbf{A} </math> such that
 
: <math> \alpha_{k} \, \mathbf{x}_{k} = \mathbf{A} \, \mathbf{y}_{k} </math>