2 2 4 0 00 ‚ū₁ 0 -1 -3 3. Let y = Find the best approximation to y in W. Computation: and u₂ = 5 -2 4 2 Let W = Span(₁, ₂).

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: 1 2 0 0 2 0 0 2 0 0 plain why span M2(R) 0 4 3 4

A:

Q: If A and B are orthogonal, is A+B also orthogonal?  Can you demonstrate Algebraically using A + B =…

A: Solution: Given-   A and B are Orthogonal matricesTo show:  (A+B)  is OrthogonalSince, A and B are…

Q: Suppose you are ciimbOing a hiii wnose shape is given by z = 1000 – 0.005x² – 0.01y², where x, y,…

A:

Q: Find the slope of each line described. 67. A line parallel to y = 0.5x -9 %3D

A:

Q: +タ x2 – 1

A:

Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: əz əz 1. Let z = x² + y³, x = 2st and y = s − t². Compute for and əx Ət

A:

Q: Q.3) Find the constants a, b, c, d, e if f(z) = (ax³ + bxy² + 3x² + cy² + x) + i(dx²y - 2y³ +exy +…

A: Given :  f(z) = ax3+bxy2+3x2+cy2+x + idx2y-2y3+exy+y  is analytic. To find : The constants a, b, c,…

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

A:

Q: Suppose that a = xdy is a 1 form and Y(v1, v2, v3) = ((v1 – v3)² (v2 – v3)²) ædy what is "a ?

A: Given α=xdy-----(i)γ(v1,v2,v3)=((v1-v3)2,(v2-v3)2)---(ii) To find γ*α------(iii) from (ii) we…

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: Using the substitution u = (A) (B) C D 1+1 du [₁ -1/2 du [(u ¹/2 - u-1/2) d du (u - 1) / u-²1) x + 1…

A:

Q: H' 6 5 4 F¹3+ 2- ∙G₁ G 2 -6-5-4-3-2-11 1 2 3 4 3- F 4 5- 6 TH 5 B X Quinton tried to transform…

A: Transform triangle FGH according to the rule

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: If A = x²zi + xyj + y²zk and B = yz²i+xzj + x²zk determine the expression grad(A.B) at the point…

A:

Q: 3 Show that the planes, x-2y+4z-13D0 and 3x-6y+8z=5, if so, find the distance * .between them…

A:

Q: EX 1A Calculate the performances ATA, (BA)¹ kαi (A¹A)C - (BA) where ^-6 4), B = (871), C = (1/1 (5 A…

A:

Q: Y1 = 3 + 3/3i Y2 = -2 + 2/3i

A:

Q: Find M My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. x…

A:

Q: Find the following complex function u (x, y) and v (x, y)

A: We have to find u(x, y) and v(x, y) ,    f(z) = u(x, y) + i v(x, y)  We'll get it by substituting z=…