Question

The sum of two linear operator is?​

Answer 1

Answer:

Let us define the addition of two linear operators as (M + N)(u) = M(u) + N(u). Similarly, αM (scalar multiplication) is defined to be the operator (αM)(u) = αM(u). The space of all linear operators from V to W (denoted L(V,W)) is a vector space in itself.

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Answer 2

Answer:

Let us define the addition of two linear operators as (M + N)(u) = M(u) + N(u). Similarly, αM (scalar multiplication) is defined to be the operator (αM)(u) = αM(u). The space of all linear operators from V to W (denoted L(V,W)) is a vector space in itself.

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