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Support of an operator is vector space that is orthogonal to its kernel.

Does this mean support is same as row space? How to calculate support for any matrix?

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Yes, by Fundamental theorem of linear algebra.

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why is it called support? – asdf Jan 1 '12 at 11:40
@asdf: By analogy with the definition of support for a function on a topological space. – Zhen Lin Jan 1 '12 at 12:17

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