Lineaarikuvaukset
Lineaarikuvaukset, also known as linear transformations, are fundamental concepts in linear algebra. A linear mapping or linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication. Specifically, if $T$ is a linear transformation from vector space $V$ to vector space $W$, then for any vectors $u$ and $v$ in $V$ and any scalar $c$, the following two properties must hold: $T(u + v) = T(u) + T(v)$ and $T(cu) = cT(u)$.
These properties ensure that the structure of the vector spaces is maintained under the transformation. Linear
The set of all linear transformations from $V$ to $W$ forms a vector space itself. Important linear