Direct linear transformation: Difference between revisions

Revision as of 12:20, 3 August 2007

Revision as of 12:21, 3 August 2007

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== Example ==

Let the known vectors <math> \mathbf{x}_{k} \in \mathbb{R}^{2} </math> and <math> \mathbf{y}_{k} \in \mathbb{R}^{3} </math> be two sets of known vectors and the problem is to find <math> 2 \times 3 </math> matrix <math> \mathbf{A} </math> such that

: <math> \alpha_{k} \, \mathbf{x}_{k} = \mathbf{A} \, \mathbf{y}_{k} </math> &nbsp; for <math> \, k = 1, \ldots, N </math>