12] and a3 = -20 4 -------- Let a₁ = h 5 2 The set {a1, a2, a3} will span R³ unless h = 0

Q: List all the subsets of {x, y, z, y}.

A:

Q: Write a proof that proves the Union Un an element of natural numbers (-1/n, 2-1/n)=(-1, 2). Also…

A: The given interval is (-1/n,2-1/n) where natural number n belongs to positive integers. So that we…

Q: N.Find the set of values of x for which: w - x-2 x+1 12. Solve the inequality:(x-3)(x+2)(x+4) > C 13…

A: 11)  xx-2>1x+1⇒xx-2-1x+1>0⇒xx+1-x+2x-2x+1>0⇒x2-2x-2x+1>0           1 If x<-1 then…

Q: { O True O False The set 5 1 4 -4 1 -3 5 is linearly independent.

A:

Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Let A, B, C, D be sets. (a) (b) Prove that Ax (B \ C') = (A × B) \ (A × C). Prove that (A x B) n (C…

A:

Q: Find the intersection of possible [ -9, -4) intersect [ -8, 6]   upside down U - intersect

A: To Find   The intersection of possible [ -9, -4) intersect [ -8, 6]

Q: 1. (a) Let A = {k, k +1,..., k2}, for k = 1,2,3,.... Uº1 Ak - n=1 Ak (b) Find two infinite sets A…

A: Part (a):- Given that  Ak =  k, k+1, ......, k2 ,   for  k=1, 2, 3,....Find    ∪k=150 Ak - ∩k=1∞ Ak…

Q: Let R be the set of real numbers, C= (0, 10], D= (9, 15], E = {1, 2, 3} and F= (7, 10). Find: (i)…

A:

Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i<x<1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: f U1 and U2 are both upper triangular matrices, and L1 and L2 are lower triangular which of the…

A:

Q: Compute 12] 1 −1 -4

A: 1-1-45.301-2=1.3+(-1)(1)1.0+(-1)(-2)(-4)(3)+(5)(1)(-4)0+(5)(-2)=22-7-10 NOTE: PRODUCT OF 2 MATRICES…