Quiz 8 Ma 322 005 Name ______________

1. Find the projection of [Maple Math] onto the subspace of [Maple Math] spanned by [0,1,4] and [1,1,1].

[Maple Math]

[Maple Math]

[Maple Math]

2. Find the least squares solution to the overdetermined system Ax = b, where A = [Maple Math] and b = [Maple Math] .

[Maple Math]

[Maple Math]

[Maple Math]

3. Find the polynomial [Maple Math] which best fits the data [0,1], [1,2], and [2,4] in the sense of least squares. Find the error.

[Maple Math]

[Maple Math]

[Maple Math]

[Maple Math]

[Maple Math]

>