Question

Give an example of a vector such that together with [insert vector] forms a basis of [insert vector space].

Answer 1

An example of a vector that forms a basis with another vector in a vector space

Step-by-step explanation:

To find an example of a vector that, together with another vector, forms a basis of a vector space, we need to consider a vector space with two dimensions. Let's say we have a vector space V spanned by the vectors v1 and v2. One possible example of a vector that forms a basis with v1 is v2 itself.So, if v1 = [1, 0] and v2 = [0, 1], then v2 together with v1 forms a basis of the vector space V.