2. Use Putzer and 1(a) to find eAt when l 0 比 1 1 00 0 1 0 0 A=10021 0 0 0 2

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Q: In the expansion of (x+y)35

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Q: . Use the ideas from our study of product measures to prove the follow- ing. Let a j,k > 0 for j, k…

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Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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Q: 10 9.3 10.1 (X/x) = l10.1 [37.7] Y = 52.5 23.4] 9.3 12 6 RSS= 6.2 17.1 1. Estimate B В2 Вз 2. Test…

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Q: (a) Given that x 1.0 y 2.7183 Computed and 1.2 3.3201 1.4 1.6 1.8 2.0 2.2 4.0552 4.9530 6.0496…

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Q: 18) If In x- In8 + 2in4 0 then x= A. 0 B. 1 T.0.5 D. 2 19) Given that la

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Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

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Q: [2 3 Let A= PDP and compute A*. where P= 4 -2 0 D= a) -1

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Q: 6. Evaluate the det A where A = 1 0 -1 2 4 24 3 1 0 1 0 041 44

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Q: 1 0 11 Compute det (B*), where B = -30 3 -3 0 0] det (B*) Ouestion Help: M Morsage instructor O Post…

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Q: In P2 , if B = {1,1+x + x², x + 2} and D = {x², x, 1} , then PD-B = 1 1 1 1 1 1 1 1 1 1 2 -2 ) 1 1 1…

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Q: 1 Let A = PDP and P and D as shown below. Compute A“. 1 2 1 0 D = 0 3 P = 4 7 A (Simplify your…

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Q: Let A=0 1 1 then adj(A)= 0 0 1 Select one: a. 1 1 1 0 1 1 O b. 1 0 0 -1 1 0 0 -1 1 1 -1 0 0 1-1 0 0…

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Q: 1O CLASSFLOW Page 19 of 4 10. x- 2(r- y) –? ifx = -3, y = 4 and z = -1

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Q: 3. For all æ E Z[i], there are N (x) elements in Z[i]z.

A: The set of Gaussian integers is a subset of the set of complex numbers containing the elements with…

Q: (0.646. 0.5792) | (1.0.3183) (0. 0) (1.0) (2.0) |(1.43, 0) 04 06 08 (0. 0) (2. –0.6366) (1.564.…

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Q: a, x 2 ex-1+ 2 ex-1+2 1 3 9.38906 1.5 3.64872 2.5 6.48169 1.9 4.45960 2.1 5.00417 1.99 4.69123 2.01…

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Q: 21. Compute A100, and A-1, where A 5 0 0 -3 -2 0 -305

A: given matrix A=50-30-20-305 compute A100 and A-1

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Q: Let A = [ L 1 -1 4 24 2 37 2 1 J , V = Is v in Nul(A)? Type "yes" or "no". no Is w in Nul(A)? Type…

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Q: [1 1 1- Let A = 0 2 1 Lo 1 21 (a) calculate A100 01 (b) calculate eAt

A: Answer is mentioned below

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: ni = 22, î1 = 99.2, ô1 = 4.5 n2 = 35, îz = 82.6, ô2 = 4 Using the information above, compute the…

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Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: Suppose E(X)=2, E(Y)=4, E(Z)=10. X, Y, Z are dependent. What is E(2X+3Y+Z)? Can not compute with…

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Q: H PROVE : กะ1 [-¹-², ¹+ ²] = [1,1] 1 t

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Q: Let X = {1,2,3}. (1 2 3 ) give a) For a (3 2 give a321

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Q: 0 1 2 0 0 3 0 0 0 Compute eAt if we are given A

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Q: 3. Suppose that the pmf of X is x-1 1. p(x) ,t = 1,2, 3, . 3 3 Find the mgf of X.

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Q: 2(0.20)* 0.082 I. 0.021 2(0.10)* X= m. 12.4 = 0.10 e314(295) -4834 n. x= 4.62 ea314(298) x= o. 4x =…

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Q: [1 0 1 Let A =|1 0 1 |0 1 0 Identify Al3].

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Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

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Q: 1. (a) Suppose that x1 = -5, x2 = 36, x3 = Calculate the following quantities: 4, and y1 = -7, y2 =…

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Q: 1 If w = f(x, y) = x²y+ \y, then ƒ(÷,x“) is .. 1. O 2x2 2. O 1 3. O 4. O x4 +

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.