Video showing some extended results surrounding linear independence of sets of vectors. It is shown that, in a set of n-component vectors, you can have at most n of them being linearly independent. From that, a basis is defined and it is shown that, in less technical terms, a set of n-linearly independent n-component vectors is automatically a spanning set for all n-component vectors. Implications are made for how this will connect to differential equations later on.
Негізгі бет Differential Equations - Linear Independence - Definition of Basis
Пікірлер