In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space |
Linear operator · A linear operator is completely defined by its values on a basis · Square matrices define linear operators · Combinations of multiple terms. Definition · The matrix of a linear operator... |
A linear operator in Computer Science refers to an operator that preserves linear combinations and satisfies certain conditions, such as having a closed ... |
An operator L^~ is said to be linear if, for every pair of functions f and g and scalar t, L^~(f+g)=L^~f+L^~g and L^~(tf)=tL^~f. |
A function f is called a linear operator if it has the two properties: f(x+y)=f(x)+f(y) for all x and y;; f(cx)=cf(x) for all x and all constants c. |
Linear operators are functions on the vector space but are fundamentally different from the change of basis, although they will also be expressed in terms of a ... |
A linear operator is a function that maps one vector onto other vectors. They can be represented by matrices, which can be thought of as coordinate ... |
A linear operator T is a linear transformation from a vector space V to V. If V is finite-dimensional, then any matrix representing T is square. |
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