Examples of using Null space in English and their translations into Arabic
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Colloquial
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Political
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Ecclesiastic
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Ecclesiastic
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Computer
Since its a member of our null space, we can say that it is equal to-- so our any solution minus our particular solution is equal to some member of our null space.
And so if I 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.
we're in a pocket of null space, not much larger than the station, possibly created by the drive itself as a result of insufficient power to attain our original destination coordinates.
So null space is literally just the set of all the vectors that,
given that R has the same null space as A, we know that these guys have to be linearly independant.
Now let's explore the null spaces again.
And that might seem a little bit confusing, hey, why are you even writing this out, but it's the actually very useful when you're trying to calculate null spaces.
Or not even the null spaces, let's just explore the equations Ax is equal to-- let me write it this way-- instead of x let me write x1, x2, x3, x4, x5 is equal to 0.
And this is our null space.
So your null space will always contain that.
If your null space is trivial, what does that mean?
These guys form a basis for the null space of B.
What does it mean if your null space only contains a trivial vector?
And this is going to be true of any null space problem we do.
We spent a good deal of time on the idea of a null space.
By definition our null space is all of the x's that satisfy this equation.
Our orange n is equal to-- the notation is just the null space of a.
The edge of the null space bubble has reached the outer limbs of the station.
The edge of the null space bubble has reached the outer limbs of the station.
If your null space contains the 0 vector, then all of your columns are linearly independent.