Examples of using Solution set in English and their translations into Turkish
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
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Programming
Let's draw the solution set.
So the solution set for over here is in pink.
So in orange is the solution set.
That's the solution set right there.
And then we can draw the solution set.
That my solution set is equal to some vector.
This, what I drew here, was not the solution set.
So our solution set is just a linear combination of those two vectors.
They're the exact same null space,the exact same solution set.
So this right here is a solution set, everything that I have shaded in orange.
And that's why ten is not part of our solution set.
Or we could write the solution set being from including 5/3 to infinity.
Everything less than 10/3 is in our solution set.
Or we could write the solution set as starting at negative 120-- but we're not including negative 120.
That's negative 15, which is our solution set.
We can say that the solution set, that x has to be less than or equal to 17 and greater than or equal to negative 1.
So everything I have shaded in yellow is included in our solution set.
So this represents the solution set to this equation, all of the coordinates that satisfy y is equal to x plus 3.
So this is interesting. Let me plot the solution set on the number line.
And so this is our solution set. Anything right here that I have shaded in, including minus 11, but not including minus 4.
And everything greater than or equal to that will be included in our solution set.
So the only way that there's any solution set here is because it's"or." You can satisfy one of the two inequalities.
If you think of it graphically,this would be the intersection of the lines that represent the solution sets to both of these equations.
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.
For three variables,each linear equation determines a plane in three-dimensional space, and the solution set is the intersection of these planes.
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, x5.
Each free variable gives the solution space one degree of freedom,the number of which is equal to the dimension of the solution set.
So let's figure out the solution sets for both of these and then we figure out essentially their union, their combination, all of the things that will satisfy either of these.
When the equations are independent, each equation contains new information about the variables,and removing any of the equations increases the size of the solution set.
Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set. .