Examples of using Zero vector in English and their translations into Thai
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
I'm going to get the zero vector.
That's the zero vector right there.
I'm now picking the zero vector.
So the zero vector is definitely also a member of TV.
It only contains the zero vector.
And then the zero vector is also going to have k elements.
Or it can just have the zero vector.
That's my zero vector, and let's say the vector 1,2 is here.
That is just going to be the zero vector.
When I take v transpose times the zero vector, v transpose is going to have k elements.
I'm setting it equal to the zero vector.
And it would be the zero vector with n components here, because V is a subspace of Rn.
And that just has the zero vector in it.
And we're saying, what are all of the x's that when you transform them you get the zero vector?
Let's say this is my zero vector in R2.
We find out that the null space of A contains more than just the zero vector.
And so a gets mapped to the zero vector right there.
So this right-hand side of the equation, you dot anything with the zero vector.
It equals the set of the zero vector right there.
So that means A times our vector x has to be equal to the zero vector.
V-- let me write it this way-- the zero vector is a member of V.
What linear combination of these three vectors equal the zero vector?
This must be equal to the zero vector since its length is 0.
So then v has to be equal to the zero vector.
So the zero vector in Rn, if it's arbitrary, is just a vector where everything is zero. .
And that is going to be equal to the zero vector.
So this is a dot product of v with the zero vector which is equal to zero, the scalar zero. .
So we know that Av must be equal to 0, to the zero vector.
What is the transformation applied to the zero vector, applied to point a right there?
And I will just make one last definition, and I will call that the zero vector.