using Cayley - hamilton theorem [1 2 3 Let A = 1 2 Find A5. 0 1 2

Q: The coefficient of k-1 in 1+x (1-2x)5

A: 4) To find the coefficient of xk-1 in the expansion of the x+1(1-2x)5 We use the expansion formula…

Q: Determine z and y such that -3 31 x y 2 47 -1 %3D -1 -2 2. -3 2x+y 3

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Q: (a) please find the value of A and B  (b) The support of (U,V), namely the values of u and v that…

A: Given,and..To find the value of A, and the support of..

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A: Given : A Positive Integer Is Said To Be Congruent, If It Is The Area Of A Right Triangle With Sides…

Q: (x+5)(x-10) :- (x-1)(x+1) (x-10)(x-6) (x+1)

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Q: R-PIR,) 0.7 03 Rain -1 Rain, Rain + R PU) 09 02 Umbrella-1 Umbrella, Umbrella+1 Consider the…

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Q: Theorem 5.1-1: If X - U(a, b) , then (b – a) elb M(t) = a + b ela 2 and t(b – a) t + 0, 12 1, t = 0.

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Q: Let Þ(u, v) = (7u + 9v, 9u + 2v). Use the Jacobian to determine the area of $(R) for: (a)R= [0,9] ×…

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Q: Factor x4 1 completely in R[x] and then factor it completely in

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Q: Mathematical Statistics 1 1 Let X,,X2:Trinomial 7, If 3'4 Y = 7-X,-X2 a) Find the m.g.f of Y

A: Given :Trinomial  7,13,14Y=7-X1-X2

Q: 2-4 Let A Then A -l exists provided that d # -8- %3D 4 d True False

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS give screenshots of the outputs

A: Scilab code: // Define the matrices A = [-1 0 0; 0 1 0; 0 0 -1]; B = [-2 9 -1; 6 2 0; 0 -6 8]; D =…

Q: Definition 2.52. Let (X,Tx) and (Y, Ty) be spaces. The product topology on X × Y is the topology…

A: To Prove :-  The Product topology is well- defined, that is B =  U × V ⊂ X × Y | U ∈ τX Λ V ∈ τY  is…

Q: Section 3.4-The product rule and Quotient Questions In(x) Differentiate: y = Q1 Q 2 (0 Q 3 ( Q4 ( dy…

A: To find: The differentiate y=ln xx7. Concept used: Quotient rule of differentiation.…

Q: ! A N AR 2 W S 199 Let à =(-4,-5, 3) and 6 = (-5, 2, 4). Find the projection of b onto a. proj 6=<…

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Q: E = {x₁ 13 W bases for P₁ (x) ;) (77) SFEE f = [2x-1, 2x+1s be two ordered (ive P(x) = a₁x+ ac) SETE

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Q: Classify the equation as separable, linear, exact, or none of these. Note that it is possible for…

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Q: Which of these functions from R to R are bijections? (Check all that apply) Check All That Apply A…

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Q: R² such that T(x) = b. 6. Let T be the linear transformation given in Exer- cise 2. Find x in R2…

A: Given linear transfromation

Q: 2F₁ (a,b; b-a+1;-1) = T(b=a+1)T b r(+1) r(2-

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Q: Determine whether the statement is true or false. 1 dr In (8) x2 -

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Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

Q: 4 3x 2 %3D x2-6x+8 X-2 X-4

A: Taking LCM in RHS to simplify

Q: 4. m/TUV= ac (145-53) 53 O 145

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: At least one of the answers above is NOT correct. Let f(z) = 2z¹ +22³ + 37² +2z + 1 and g(z) = 21³ +…

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Q: 21 12x + x4 Evaluate 19 dx - 6x2 + 7 x3 – 19x + C, Where C is the parameter 6x² + 7 x³ 19x + C,…

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Q: 5. (8 points) Let A € M₂ (R) be given. (a) If det (A) = 1, prove that adj (adj(A)) = A. (b) If A is…

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Q: 1: Find Z by convolution theorem. (z- 2)

A: convolution theorem

Q: Let x y, z be three non-negative integers such that x + y + z The maximum possible value of xyz + xy…

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Q: P1=(x1,y1,z1) and P2=(x2,y2,z2)  prove that distance of P1 and P2 ; |P1P2|=((x2-x1)2 +(y2-y1)2…

A: Solution: The objective is to prove that the distance of P1 and P2   |P1P2|=((x2-x1)2 +(y2-y1)2…

Q: Question 3. Is [1 0] 0 1 [1 0] [o o] 0 1 0 1] M22 = span 1 1 0

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Q: ACTIVITY 2.22. Let C = {x, y, z}, D = {a, ß}. List all elements of: (a) C x D, (b) D x C, (c) C x C,…

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Q: If a = (t, t², -1) and 6 = (1, t, 1), then 6 × ā is O(t+1, t- t², 0) O-t² + 2t +1 ○ (0,0,0) ○ (t-t²,…

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Q: Q3: A- Write two refinements for the n = ={-3.-,1.4} B- Find R(f, n), R(S, 1) for f(x) = x³ on [0,4]…

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Q: Example:3 Verify Cayley-Hamilton theorem, and find A-1 [2 1 1 A=0 1 l1 1 2.

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Q: 1 2 1 X1 Let A = 2 3 1 ], let X = | x2 and let D = 2 1 0 0 X3 3 Furthermore, we have that AX=D. In…

A: We have to solve the given problem by matrix methods.