What is Linear Combination of Vectors and Span | With Examples
Linear Combinations of Vectors and the Concept of Spanning
In this video, I define the concept of Linear Combination, show how it's Express and explained with an example.
Don't forget to check the video on Vector space and subspace if you haven't checked yet
Here : • What is a Vector Space and Subspace | With...
Then, I moved on in proving the theorem " The set of all linear combinations of elements of the vector space V is a Subspace of V"
Also, I clearly show the relationship between lines and Linear combinations
Followed by, displaying the relationship of linear combinations with planes and giving the condition under which it forms a subspace.
Finally, I introduce the concept of Spanning. Explicitly defining, giving the different ways to interpret, and showing an example of a spanned space.
As, an extra I poved a common statement in relation to Vector Spanning..
Don't forget to check this other video because there are concepts like vector space and subspace which are explained
Here: • What is a Vector Space and Subspace | With...
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