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4 Cards in this Set
- Front
- Back
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Definition: one-to-one |
A mapping, T, is one-to-one on D* for (u,v) and (u*,v*) ∈D*, T(u,v) = T(u*,v*) implies that u=u* and v=v* In other words, each individual value goes to its own place. |
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Definition: mapping onto |
The mapping T is onto D if for every point (x,y) ∈D there exists at least one point (u,v) in the domain of T such that T(u,v)= (x,y) |
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Characteristic if a transformation is mapped onto D and is one-to-one |
The solution is unique |
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Definition: linear transformation |
A linear transformation of Rⁿ to Rⁿ ggiven by multiplication by a matrix A is one-to-one and onto when and only when det A ≠ 0 |
