Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2. 1. Show that AAB (ANB) U (BA) = (AUB) (AB), Α' Δ Β = Α Δ Β, {A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).

At which of these times (A, B, C, D, E) was runner 1 stopped and runner 2 running? (Select all that apply.) Finish Runner 1 Runner 2 Time Start A в с D E Distance from the starting line

Let A = - det (A - A)=0 det λ = 1 – -3 -4 2 ³] -3 (4-2)-(1)- = 0 Fill the following boxes: 1²_ Check Therefore, to find λ, we need to go through the following steps: and λ).

2.4 #8

10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b algebraically. Also provide a diagram.

1. Let A = (-∞, -2], B = (-3,8], C = (5,25) and U = R. Find An B, AUC, C \ B. 2. Prove that AU(BNC) = (AUB) N (AUC).

6. The covariance between X and Y is calculated and recorded as SXY (and sxy is a negative number). A linear transformation is performed on X. The linearly transformed variable is called W, where W; = 5 + Xi. The covariance between W and Y is calculated and recorded as sWY. Which statement is correct? A) В) In this example, swy would be less than sxY. In this example, swY Would be equal to sxY. In this example, swy would be greater than SXXY. 7. The covariance between X and Y is calculated and recorded as sxy (and sxy is a positive number). A linear transformation is performed on X. The linearly transformed variable is called W, where W; = (4)X;. The covariance between W and Y is calculated and recorded as sWY. Which statement is correct? In this example, sxY would be less than swy. In this example, sxY Would be equal to swy. In this example, sxY would be greater than sWY. A) B) 8. The correlation between X and Y is calculated and recorded as rxY (and rxy is positive). A linear…

Please answerf both a and b, thanks

Answer all plss

1. A = [4 2] -1 1] a. Find SVD from A b. Find SVD from A invers 1 0 0 0 a. Find SVD from A 2. A = [; : : :] 1 b. Find column space, row space, null space, left null space from A