Find i x w if ||T|| = 3, ||w|| = 4, 0 = and ī, w both lie in the xz-plane (as shown). 3 %3D

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Q: Let v1, v2, V3 R° and suppose {v1, v2, V3 } is a linearly dependent set. Let A = [v1 v2 v3] E R5×3.…

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Q: Find real numbers x, y and z such that (x + 4)i + (y – 5)j + (z – 1)k = 0

A: To Determine :-  The real numbers x , y and z  such that   x + 4  i +  y -5  j +  z - 1  k =0

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A: Given: We have μi^ as the residual in the least square fit of Yi against Xi(i=1,2,...,n) and a…

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Q: 4 k V1 = V2 = -5 ; y= -6 -2 k For what value(s) of k is y in the plane spanned by vị and v2?

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Q: Fit a least-squares parabola having the form y = a + bx + cx² to the given data. 1.2 1.8 3.1 4.9 5.7…

A: Given information: x y 1.2 4.5 1.8 5.9 3.1 7 4.9 7.8 5.7 7.2 7.1 6.8 8.6 4.5…

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A: Calculate the necessary values in the following way:   x y x×y x2 y2   1.2 4.5 5.4 1.44 20.25…

Q: 2. Let U = {a + bx + cx2 + d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c…

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Q: Find the order of the given DE. Also, decide if the DE is linear or nonlinear. (a) + yx = x (b) 1-…

A: The differential equation dydx+y2x=x contains the highest derivativedydx which is of first order.…

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Q: Fit a quadratic function of the form f(t) = co + cit + czť² to the data points (0, –6), (1, 2), (2,…

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Q: O Consider K points x1,..., X € C. Show that 0;x; € C, for >0; = 1,0; e R i=1 i=1

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Q: 2 0 Let A = and define T: R²→R? by T(x)= Ax. Find the images under T of u = a and v = 0 2 - 6 T(u) =

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Q: Let R = Z3[x]and let I = {q(x)(x² + 1)|q(x) E Z3[x]} then I is %3D %3D

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Q: a. Let û, be the residuals in the lease square fit of Y; against X; (i = 1,2, ...,n) and a constant.…

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Q: Find real numbers x, y and z such that (a) (b) Q.8 7xi + (y - 3)j + 6k = 10i + 8j – 3zk (x + 4)i +…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: QY Use Gramer's Rule to Find K,y and Z -y-22 =-8 %3D 1 + 32 = 2 %3D 7X +y+Z = o

A: Craners rule used

Q: 2. . Uee the Method of hagrange multieléra - find the maximum and nin nuum vilues - f(xy,z)= xy2…

A: Use Lagrange  method

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A: We have to use stoke's theorem .

Q: Y A B C Given: XC bisect YB at A; A is the midpoint of YB Prove: AXYA = ACBA

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Q: (h) Find Katz centrality. a e b d

A: Given figure is Related matrix is A=0100010101100101010100110111000101110111010101110 So eigenvalue…

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Q: Find whether the planes below intersect, and if so, where they intersect using Gaussian elimination.…

A: we first solve the augmented matrix and get the parametric equation of a line using the guassian…

Q: Let [] Vị -2 and V2 4 3 k For which value(s) of k will Span{v1, v2} be a plane in R3? A. k= 3 (D.) k…

A: Here, the given vectors are: v1=1-23, v2=-24k Now, the  Span{v1,v2} be a plane in ℝ3 if v1 &amp; v2…

Q: The function u (x, y) = x - y – y. Find its conjugate v(x.y) at P(1,-1) if z-u+iv at P(1,-1) is 1+i.

A: Given:           u(x, y) = x2-y2-y

Q: 1 Let A= -2 . Show that A is positive semidefinite and find A2 4

A: Given the matrix is A=1-2-24. Show that A is positive semidefinite and find A12.

Q: The plane x = 2 is a) parallel to the yz-plane O b) parallel to the xz-plane c) parallel to the…

A: Solve the following

Q: c) f(1) = te¯«a f(1) = te", 12 0, Is 0. -j4aw (c) (a + w) %3D %3D

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