Question

If a linear operator preserves all subspaces of a particular order then it is scalar

Answer 1

Answer:

Step-by-step explanation:

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping V → W between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

An important special case is when V = W, in which case the map is called a linear operator,or an endomorphism of V. Sometimes the term linear function has the same meaning as linear map, while in analytic geometry it does not.

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