Do you care about whether we simplify fractions or not? Also, this overlaps so incredibly well with calculus 3, except for the fact that we did all of this in August.
Bonus point attempt: If we have a vector/point that can be written as a coordinate with respect to a bunch of axes then "the projection of that vector with respect to those axes" is just equal to that coordinate. If you have a fly on a piece of paper and shine a light on it from directly above, its feet are touching its shadow.
Could a geometrical conclusion to proof theorem 9 be the fact that the (y-v) vector is the hypotenuse which is always the longest side of a right triangle?
The best approximation theorem simplifies complex problems by providing a clear path to finding optimal solutions
One video down for rewatching them all
Totally underrated bro thanks a lot!
Do you care about whether we simplify fractions or not?
Also, this overlaps so incredibly well with calculus 3, except for the fact that we did all of this in August.
Bonus point attempt: If we have a vector/point that can be written as a coordinate with respect to a bunch of axes then "the projection of that vector with respect to those axes" is just equal to that coordinate. If you have a fly on a piece of paper and shine a light on it from directly above, its feet are touching its shadow.
So for an orthonormal matrix U whose columns form the basis for W; UᵀUx = x, but UUᵀx = x̑.
Also, where does the formula for z hat apparate from?
Could a geometrical conclusion to proof theorem 9 be the fact that the (y-v) vector is the hypotenuse which is always the longest side of a right triangle?
I think the best way to understand projections is to draw and look at pictures, however, I see now that we can only draw so many dimensions:(
You are generational