00:02
Okay, so well let's consider the vectors 9, 12, negative 3, negative 3, the vector, okay, this one is going to be 18, negative 4, 5 and 1, and finally let's consider the vector negative 3, negative 3, negative 4, 5 and 1, and finally let's consider the vector negative 3, negative 4, 1 and 1.
00:37
Okay, we can see that clearly these three vectors span our subspace.
00:43
So the only thing that we want to try to understand at this point is this.
00:48
Are these three vectors linearly independent? well, here actually, what do we have to do? well, here what can we see? we can see that these vectors are not going to be linearly independent.
01:04
Independent.
01:05
Well, why? let's keep in mind that this vector here is the same as what? this vector here is the same as negative 3 multiplied by our third vector, which is negative 3, negative 4, 1, 1.
01:27
So these 3 are not going to be linearly independent...