00:01
Let's start with this statement i say that we need to write the standard basis, write the standard basis for the vector space that is m sum 3 comma 3.
00:15
Right now let's first of all let's take a look at the definition of basis.
00:27
Right now if we have a set of vectors, let's say, s in the vector space let's say v, right? and we want to know that whether it is the basis for this vector space v or not.
00:42
So we need to check that whether it satisfies two conditions or not.
00:45
The first condition is that it must span v, right? and the second is that it must be linearly independent, right? only then this set or any set would be the vector space of v.
01:03
Right now let's talk about the vector space that we have for this particular question, right? so the vector space that we have is m sub 3 comma 3.
01:15
So let's write it down in its general form.
01:18
So that would be m sub m comma n.
01:22
Right...