Find a unitary matrix P that diagonalizes the Hermitian matrix A, and determine P-¹AP. P-(-+-+-+) = A = [ 12 0 12 - 4i i] 12 + 4i -12

Q: Given that n(An B) = 5, n(An Bn C) = 2, n(An C) = 5, n(B nC)=2, n(An C) = 11, n(B nC) = 5, n(C)=8,…

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Q: Justify rigorously the given set is open in R³. (a) A = {(x, y, z) |x>0, y 9}. (b) B = {(x, y, z) |…

A: We have used definition

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Q: Minimize: C = 6x₁ + 3x2 Subject to the constraints: 4x1 + x₂ > 4 X2 > 2 X1 ≥ 0 x1 X₂ ≥ 0

A: Minimize subjected to constrain

Q: why the graph crosses (3,2)

A: This part is done correctly

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Q: ie. whenever, 12-201 0 and for any (x, y) ER with o0 be arbitary. choose Then we choose 8₁ = &₁ and…

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Q: 4. Let f(x) = -x³ cos x. With po = -1 and pi = Use the Secant method. 0, find p3. b. Use the method…

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Q: The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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A: Linearization of a function f(x,y) about a point (a, b) is given by

Q: 92000 5 1000 Without using row reduction, find the inverse of A= 0 0 200 0 0 0 49 000 25 A¹ =

A: Let us find the inverse of given matrix A .

Q: Maximize: P = x₁ + 2x2 Subject to the constraints: x1 + 3x₂ 0

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Q: Write each proof. 7. Given: AB bisects LCAD and ZCBD. Prove: ACABADAB Statements 1. AB bisects CAD…

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Q: Let f: R³ R be the function defined as x² + y² + 2², -p+212 f(x, y, z) = if (x, y, z) = Q³,…

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Q: Let S be a prime ideal of R and suppose that a product a₁a₂a3... an, of elements of R, belongs to S.…

A: Let S be a prime ideal of R and suppose that a product , of elements of R, belongs to S. Then prove…

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Q: Let x* = (x₁,x2,...) be a critical point of the function f. The second order conditions for x* to be…

A: The above Statement is truein this question we can see that x* is critical point and eat represent…

Q: 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)} and g(x)= {(2, 8), (3, 1), (4, 5), (9, 1),…

A: Composition and division

Q: 38. Let A be the matrix given in Exercise 26. a) For each vector b that follows, determine whether b…

A: As per our guidelines, we can only answer first three sub-parts and rest parts can be reposted…

Q: 3. State the domain and range of each function. Explain your thinking. a. f(x) = -3√√/2x+8−1 b. g(x)…

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Q: Consider the second order equation below. Find a recursion equation for the coefficients of the pow…

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Q: 2 Solve the initial value problem, given that y₁ = x² x² satisfies the complementary equation. y = =…

A: Firstly we find the complementary function of given differential equation and then particular…

Q: can this be done

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Q: Establish the convergence and find the limits of following sequences. *[(+] [-] [0) "0-47

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Q: 8. Use the non-recursive formula for the Fibonnaci numbers given in Theorem 3.3.7 to deduce that for…

A: Rewrite the given formula and then proceed to solve the problem

Q: 2. Save the system with Gaussion elimination (x+2y-42=-4 (1) 58-38-72 = 6 3x-28+37=11 x+2y-32=6 {…

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

Q: the curve x^3+y^3=3xy was first discussed in 1638 by the French philosopher-mathematician René…

A: The curve x3+y3=3xy is known as the folium of Descartes.It was first discussed by René Descartes in…

Q: sisting of odd integers. (ii) Suppose that gcd (m, n) = 1. Show that there exists a complete system…

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Q: Recall that n¡ (called subfactorial) is the number of derangements over n elements. Show that…

A: Subfactorial is the name of derangements over n elements.Show that:Factorial and Sub factorial are…

Q: Let 71, 72, 73 be any vectors in a 3-dimensional space. Determine whether the following statements…

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Q: (a) Using appropriate summation formulas from lectures, determine the expressions for Ln and Un.…

A: We have to find the upper and lower sum

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Q: Nita Darmati signed a $9,000 simple discount note at First City Bank. The discount rate was 7%, and…

A: Given that Maturity value M=$9000Bank discount rate (B) = 7% =7100=0.07Time of Note…

Q: 7. S= {x: 0<x< 5, cos x = 0}

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Q: (3) Write the standard form of the following LP. Use the Big M method to solve it and write the…

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Q: Graph the following hegians in the complex plane? | 2-1|=12+1/

A: Given region: We have to graph the given region in the complex plane.

Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 5yª, y(1) = =…

A: Given the initial value problem, x2dydx−2xy=5y4,y(1)=1/4rewrite above the differential…

Q: Given 10-9-8-7-6-54-3-2 matches the given graph. Use vertex form (y=a(x-h)^2+k) 10+ 9- 466 8 7 6- ५.…

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Q: Problem #8: Use Divergence theorem to find the outward flux of F = (4x², e, cos³(y² + x)) of the…

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Q: Describe the bifurcation when A is the parameter.   dy/dt = e^-y^t +A

A: The differential equation you've provided is a first-order ordinary differential equation (ODE) with…

Q: Find the minimum and maximum value of f(x)=3x-7/x on the interval [2,11]. If the minimum value is…

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Q: Are the following vectors a basis of R³?

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Q: Sketch the level curves of the function f(x, y) = = - y² for c= -4,-1, 0, 1, 4. 9

A: The level curves of a function f(x,y) are formed by plotting points (x,y) in the plane where f(x,y)…

Q: Approximate the integral fe e-x² dx as indicated below. Give your answer to 8 decimal places. Using…

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Q: In Problems 1 through 8 find l.u.b. S and g.l.b. S. State whether or not these numbers are in S. 1.…

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A: (iii) Cycle graphs: A cycle graph is an undirected graph G with the following properties:There…

Q: how did you get -ln(A-T)=kt + C ? I'm not understanding where the negative came from...the integral…

A: Here the intergrand is  which is integrated with respect to T. Here the coefficient of T is (-1) in…