hat is the orthogonality assumption in OLS, taking Y = a + bX as odel, and the error term is e? (e is epsilon)

Q: 11. Assume that the stated inverses exist, prove (I + A-\B-l)-!A-1 = A-'(I +B-' A-1)-1

A:

Q: Prove that (1, 2) (1,(1), 2, 3).

A: We know, if A and B are two sets then, A is subset of B  if every element in A is also in B.

Q: Prove the following identities using simplified index notation: b) V•·(v.)= y·(V₁¹) + :Vy (where…

A: To prove: ∇.v~.τ≈=v~.∇.τ≈T+τ≈:∇v~

Q: Use index notation to show that: If Vu=0,-v=0, and Vxw=0, then V-[(xv)xw]=w[(v)-(4D)V]

A: Given:  .To prove: .Properties of the Dot and vector products:i) ii) iii) iv)

Q: The standard error equation can be rewritten to v(o In). O True O False

A: In this case, we need to check whether the given statement is true or false.

Q: Select all the expressions equal to pr ry Op.z: (r· y) O (p - x) ÷r. Y Op z÷r.y Op: O (p r) ÷ (r ·…

A: The expression is given by p·xr·y

Q: -2 c3 4. Sí S S(6x? + 4y² – 12z²)dxdydz

A: