Let x = V = -5 = -5 and y = Find the vector v = 5x - 3y and its additive inverse. 1.81 (18) 6 [:] 5

Q: 3. a) Describe the transformations on y = 3* to sketch y=-2(3)+1

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Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

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Q: Find the inverge of the 2x2 matrix Cos t Sin t - Sine Cose

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Q: Find Cn in terms of C0 when: 1. Cn = Cn-1/(3n2 + 4n): (Note that C1 = C0/7, C2 = C0/140, C3 =…

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Q: Q1: Sketch the signals A. x(t) x(-1/2) A CL x(2(1+2)) x(−1+1) Ates Ades 0 2 B. 2 x(t) 0 1 x (3t),…

A: Given data:- Part A=   Part B

Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

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Q: Derive the expression F1− F2 = (F1 − Fc)[exp( f φ) − 1/exp( f φ)] using the equation (F1− Fc/F2−…

A: Given efφ=F1-Fc/F2-Fc=F1F2-Fc-F2FcF2 1efφ=F2F1F2-Fc-F2Fc Now…

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: 8 = (²³). 21 Let A = Diagonalize A and use the diagonalization to calculate A¹00

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Q: T a(x¹ B) ax

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Q: Q6. Consider the function f: R³ R² defined by f((x, y, z))= (-2r, y + 32). (a) Show directly that f…

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Q: Find z(t) for X(s) = -2 s(a+1)(s+9) Select one: O a. z(t) %3D%3D30(1) + 끓etu(t)-공cos3t. u(t) +…

A: Given:

Q: Show that 2 is a unit in Z₁5 by finding its inverse.

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Q: EXER 7: MATRICES Prove that if N is invertible then MN¹ = N¹M if and only if MN=NM.

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Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: Express the following as linear combinations of 1= (2, 1, 4), v= (1, – 1, 3), and w= (3, 2, 5). 8.…

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Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. 4 r(t) = (41²) ₁ +…

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Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: (c) M=QPCR (d) N³ = 1

A: Given:Let  be tensors.Objective:Convert the expression  to tensor notation.Convert the expression…

Q: 2 Evaluate: ²₁²(x²-y²² du dt

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Q: 18. Find the inverse of: (x) Nx-9+3. A)()=(x+9) -3 or'm-(x-3) +9 B))-(x-3) +9, x 23 D) m-(x+9)-3,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y)(Ty → Wy) - Hv)) → Ia

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Q: Find the stable vector of P || -

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Q: Find the general formula for T: R3 -> R3, if T(1,0,1) = (1,2,0) , T(1,-2,1) = (0,1,0) and T (0,0,1)…

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Q: Assume that (8) ∞∑n=1nanxn−1=∞∑n=0anxn∑n=1∞nanxn−1=∑n=0∞anxn for all x, and determine what this…

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Q: Show that the Newton divided-difference polynomials 3 – 2(x + 1) + 0(x + 1)x + (x + 1)x(x – 1) and…

A: Given: Let P(x)=3-2x+1+0x+1x+x+1xx-1    Q(x)=-1+4x+2-3x+2x+1+x+2x+1x

Q: Compute u + v, 2u – v, 3u – 2v, and 0 – 3v if (a) u =| 2 3 2 (b) u= = -3 (c) u = 1 4

A: (a) Consider the given matrices, u=123 and v=201 now, use the matrices addition property,…

Q: 2. Let -2 3] 1 5 A = (a) Write down the quadratic form, Q(x), for AT A.

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Q: a) Evaluate r(금). r(0)

A: According to our company policy, we are supposed to answer the only first question. For the rest…