Examples of using Linear combination in English and their translations into Thai
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
Why was the fact that I can represent these guys-- this guy right here as a linear combination of these three, or this guy as a linear combination of these three-- why does that imply that I can construct this guy as a linear combination of my basis vectors?
can be represented as a linear combination of these two vectors, of those two vectors.
We already had linear combinations so we might as well have a linear transformation.
We're taking linear combinations of our column vectors.
These things here are linear combinations of those guys.
What's all of the linear combinations of this?
Or they are linear combinations of these vectors.
Linear combinations of that guy.
But linear combinations of a and b are going to create a plane.
This is all the possible linear combinations of the column vectors of a.
These are all just linear combinations.
Linear combinations of vectors a and b?
Because any linear combination of them, or linear combinations of them can be used to construct the non-pivot columns, and they're linearly independant.
So the set of all of these is essentially all of the linear combinations of the columns of a, right?
Your null space is that, so it's all the linear combinations, or it's the span, of these little vectors that you get here.
And so you can't take any linear combinations to get to that 1 because 0 times anything, minus or plus 0 times anything, can never be equal to 1.
All of the linear combinations of two vectors in R3 is going to be a plane in R3.
The column space is all of the linear combinations of the column vectors, which another interpretation is all of the values that Ax can take on.
So, the span is the set of all of the linear combinations of these three vectors.