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).

Show that gcd(a, bc) = 1 if and only if gcd(a, b) = 1 and gcd(a, c) = 1.

Let U, A, B, and C be defined as shown below. U = {a, b, c, d, e, f, g, h, i, j } A = [ d, e, g, h, i} B - {b, e, g, h, i, j, } C-(a, d, e, i] Find a) (Bn A) υα b) |(BN A') U C|

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