Examples of using Solution set in English and their translations into Arabic
{-}
-
Colloquial
-
Political
-
Ecclesiastic
-
Ecclesiastic
-
Computer
After drying the solution set metalwork.
This, what I drew here, was not the solution set.
That my solution set is equal to some vector, some vector there.
And then we can draw the solution set.
You could say, look, our solution set is essentially-- this is in R4.
Let me put this in reduced row echelon form and find the solution set.
I'm just trying to find the solution set to this equation right here.
So everything I have shaded in yellow is included in our solution set.
OK, they want to know the solution set to this quadratic equation.
And everything greater than or equal to that will be included in our solution set.
Or we could write the solution set being from including 5/3 to infinity.
Now, if we're saying that Ax is equal to 0,we're looking for the solution set to that.
And so, on the number line, the solution set to that equation will look like this.
And you can keep trying for any of these numbers in this pink solution set here.
You just have to find the solution set to this and we will essentially have figured out our null space.
It's equal to-- I'm just rewriting,I'm just essentially rewriting this solution set in vector form.
Or we could write the solution set as starting at negative 120-- but we're not including negative 120.
Which means that it is essentiallyimpossible to find an intersection of these three systems of equations, or a solution set that satisfies all of them.
Our solution set is all of this point, which is right there, or I guess we could call it that position vector.
Well, all of a sudden here, we have expressed our solution set as essentially the linear combination of the linear combination of three vectors.
It could be personal, it could be at work or it could be move-the-needle world stuff,and think about how far out you tend to think about the solution set for that.
But this guy right here has to be--for any solution set, depending on how you define it, there's only one particular vector there.
For any non-zero polynomialformula_6 over the complex numbers in one variable, the solution set is made up of finitely many points.
What you can imagine is, is that the solution set is equal to this fixed point, this position vector, plus linear combinations of a and b.
Your solution set that satisfies this is going to be, x is going to be equal to this b prime, whatever this new vector is, this b prime plus something that looks exactly like this.
Or put another way, the solution set of this equation, which is really just a nullspace, the nullspace is all of the x's that satisfy this equation.
So if I wanted to write the solution set to this equation, if I wanted to write it in terms of this, I could write x1, x2, x3, x4 is equal to-- what's x1 equal to?
And so ifI wanted to write the solution set in vector form, I could write my solution set or my null space, really, is-- or all the possible x's. x1, x2, x3, x4.
The null space of A, which is just a solution set of this equation, it's just all the x's that satisfy this equation, it equals all of the linear combinations of this vector and that vector.
If we're looking for the solution set to Ax is equal to 0, then that means-- is equal to the 0 vector, that that means that this sum, we're trying to find a solution set of this sum is equaling 0.