Question) For the signal x[n] shown in figure: x[n] 3 -1 0 3 n -2 1) Draw y[n] if Y[ew] = x[ej2w] 2) Draw z[n] if Zejw] = (1-ejwX[ew] 3) Draw w[n] if W[ew] = x[w] d 4) Draw q[n] if Q[e]=[] dw 5) Draw f[n] if f[n] = x[-0.5n+2]

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

Q: 31. Let f(x) = [x²/3]. Find f(S) if a) S= (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: The given function is, fx=⌊x2/3⌋. To Find: f(S) for the following set S, (a) S=-2,-1,0,1,2,3 (b)…

Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

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Q: 1 - 3 2 Let v, = - 3 -2 Determine if the set {v4 is linearly independent. 7 -2 - 4

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Q: 6. Find UV (dot a) Ū · V = (2, 3, -

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Q: otic 6) Use Classral Version step by skep tndhuding the flue es finds of f='Caiy, 2) thre shetch the…

A: We have to find the flux ∫∫σF→.n^ dS, of the function F→ = <x, y, z>, over the surface σ: z =…

Q: a) Find ū - i b) Find w.u 1/2

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Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: Let ƒ : Z → Z × Z be defined as f(n) = (2n, n + 3). Select which statements are true. a) for any in…

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Q: 9. 11 Let a1 = -6 a2 -4 |, and a3 = 11 -3 -4 The set {a1, a2, a3} will span R° unless h =

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: u = [2, 6, –5] and v= [-3,–1,6] %3D A · A + (A + ng-) · (A x n)

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Q: 10.

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Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: Suppose y E span{X₁, X₂}. Explain why span{x₁, x2, y} = span{X₁, X₂}.

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Q: Compute u – 3v, u v and u x w.

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Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: 10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b…

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Q: Q4) Given A = 1 -2 1 find the Kernel and 0 2 1 range of A.

A: Introduction: Kernel and range are two important terms related to matrix and linear transformation.…

Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.