5 3 1 0 Problem 10 Let wi = ,W2 W3 Let W = Span{W1,W2, W3} C R6. 11 9 1 2 a) [6 pts] Use the Gram-Schmit algorithm to find an orthogonal basis for W. You should explicitly show each step of your calculation. 10 -7 11 b) [5 pts) Let v = Compute the projection prw(v) of v onto the subspace W using the 5 orthogonal basis in a). c) (4 pts] Use the computation in b) to...
Let B = [V1, V2, V3] and B' = [W1, W2, W3] be bases for a vector space V and Vi = W1 + 5W2 – W3 U2 = W1 U3 -W1 - 4w2 – 2w3 If (U)b = (1,-1,2), then the coordinates of v relative to the basis B' are c1 = C2 = and cz
An experiment has four outcomes O1,O2,O3, and O4 with corresponding weights w1,w2,w3, and w4 where w1=7/k, w2=7/k,w3=6/k, and w4=1/k. What is the value of k? What is Pr({O1,O4})?
16. Decide whether b is in the subspace spanned by w1, W2, W3, where wų = (1,1,0), w, = (2,2,1), wz = (-1,1,2), and b = (1,4,5).
Find the angles θ1 and θ2 in the figure below, where w1 = 4.75 N, w2 = 8.40 N, w3 = 3.90 N, if all the weights are at rest. อ, 02 W3 W2 Wi
Jones company has two manufacturing plants A and B, and three warehouses, W1, W2, W3. Each week Jones ships product from the plants to the warehouses. The system is balanced: A produces 500 units of product and B produces 300 units of product. Warehouse W1 needs 200 units of product, W2 needs 300 units of product, and W3 needs 300 units of product. Thus, over the entire system, there are 800 units produced by the two plants and 800 units...
w1 = 85, v1 = 5; w2 = 110, v2 = 5; w3 = 80, v3 = 3; w4 = 20, v4 = 3; capacity = 200 solve the knapsack problem for the given weights, values and capacity. Which items are chosen and give the maximum value
When w1 = 10 kN/m, w2=8 kN/m, w3 = 2 kN/m, a = 3 m and b = 3 m for the system shown below, determine the internal moment in kN.m at a section passing through point C. Thereafter, choose the correct answer from the values provided below.
Find the rook polynomial and an expression for the number of matchings of 5 men (rows) with 5 women (columns) given the following forbidden pairings: (M1,W4), (M2,W2), (M3,W3), (M4,W2), (M4,W4), (M5,W1), (M5,W3), (M5,W45). Answer is 5! - 8x4! + 21x3! - 20x2!+ 6x1!, please explain how to get it, thanks.
W1 and W2 are discrete random variables (and are independent) with probability functions: p1(w1) = 1/6 for w1 = −2 ,−1 , 0 p2(w2) = 1/4 for w2 = 1, 6 Let Y = W1 + W2 Find the distribution and probability mass function of Y (Hint: First find MGF of W1 and W2 and then find MGF of Y)