Linear Algebra

Given vector spaces V and W, we write L(V, W) := the set of all linear maps from V to W. This is a vector space. Some useful properties for a linear map T in L(V, W): Matrix of a linear map The matrix M of a linear map T from V –> W, w.r.t […]

It is useful to consider vector spaces over C (complex numbers) rather than over R but in general can think of them as over a field F. The motivation fo the definition of a vector spaces comes from the properties of addition and scalar multiplication in Fn. It is tempting to associate the elements of