Let A = X = 1 −1 1 1 −1 1 1 -1 1 -1 −1 1 1 1 -1 - Find a non-zero vector x in the null space of A.

Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 39 9 +] 0 02 7 24…

A: I have explained everything with in the solution. Please go through that

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A: Given the system of equationsLet us use Gaussian elimination to calculate the solution to the…

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Q: a. Let n E Z. Show that n² = 1 (mod 3) if and only if 3 X n.

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Q: 4. Let ao 3 and an+1 = 2an + 12 an + 1 Find lim an n→∞ = a.

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

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A: such that

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Q: 2. Let m, n, a, b € Z. Prove that if 6 | m and 6 | n then 3 | (am + bn +15).

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Q: Think of a proof as a way to communicate a convincing argument for the truth of a mathematical…

A: We will prove that the quotient of any two rational numbers is rational number.

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Q: Determine n=0 1 L th (2n + 1)! An (x) An+1(x) dx, from the relation: n tn+1 LA -1 An (x) An+1(x) dx

A: Given Information:To find:The value of .Concept used:The power series of sine function is .

Q: Consider the differential equation y = 3y with initial condition y(0) = 0.9. The actual solution is…

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Q: . (a) Let A be an n - n-symmetric matrix. Diagonalize A to show that x • Ax || x || ² is greater…

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Q: You are paying a series of five constant-dollar (or real-dollar) uniform payments of $2.286.84…

A: A uniform payment of  begining at the end of first year.The inflation rate and the market interest…

Q: 4. Solve the following inequalities using an algebraic method. -2x+5 ->-2 x+6

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Q: Find all eigenvalues and corresponding eigenfunctions for the boundary value problem −y′′ = λy,…

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Q: Problem #8: 2 0 3 4 1 1 1 0 6 -2 0 What variables are currently in the solution? Enter the answer by…

A: In the context of the given tableau for the simplex algorithm, we have to determine which variables…

Q: The reduced row-echelon form of the augmented matrix for a system of linear equations with variables…

A: The given augmented matrix is .The aim is to find the solution of the given matrix.

Q: Given a demand curve of P = 1200 - 40Qd and supply of P = 200 + 10Qs and a binding price control at…

A: A demand curve of  and supply of  and binding price control at 310.To Find:Deadweight loss.

Q: 5) Compute ln(z) for the following complex numbers under the given branch cut. (a) In ( 1/1 + ²√³)…

A: Given that:a)  with a branch cut given by the curve .b)  with a branch cut given by the curve ,To…

Q: 36 *-[23] =[¦ ¦ ]· E = F 1 1 -3

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Q: Workers in the U.S. pay several types of taxes on income. The lesson discussed the FICA taxes. You…

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Q: 3. A new DE solution technique is introduced to 17 MCCC math faculty at the annual Differential…

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Q: 13. To solve the inequality f(x) > g(x), a student could graph the combined function y = f(x) - g(x)…

A: We will check true or false about the given statement.

Q: 6. Evaluate the following expressions involving the Kronecker delta 6,, and the al- ternating symbol…

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Q: Determine сх. Ха either O or I and the number of rectors Xn) such that Xi is 1 Σ xidk

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Q: A contour map is shown for a function f on the square R = [0, 8] × [0, 8]. y 8 28 30 20 30 46 JJ…

A: The Mid-point rule suggests that double integral over the rectangle

Q: Describe and compare the solution sets of x₁ + 5x2 - 7x3 = 0 and x₁ + 5x₂ - 7x3 = -1. X₁ Describe…

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Q: Lee is opening an online shop to sell handmade necklaces. He has determined that his initial…

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Q: 6. y" +4y' +4y=t-²e-²t, t> 0

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Q: Which function has a minimum at x = 3? Ax) = (x+3)² ) g(1) = x ~ fix + 9 k(x)=x²-2x-3 j(x)--(x-3)²

A: The given functions are The aim is to find the function which has the minimum value at .

Q: Let Find the middle column of A = 100 1 2 24 A-¹. 0

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Q: D. Use your assigned compound statement p to do the following: 1. Translate compound statement p…

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Q: for ne J, x is a (1-x)(1+x+x²+.. + x^²) = 1=x^²+₁ variable, prove that

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Q: A diner is open from 6 a.m. to 6 p.m., and the average number of customers in the diner at any time…

A: Average number of customers at any time after 6 a.m. is , andthe average amount of money in dollars…

Q: Suppose that a, b € Vand S V2 are given. By expressing these quantities in a coordinate frame, or…

A: Given information:Two vectors a and b in a vector space ν.We also have a 2nd-order tensor (matrix) S…

Q: (a) By examining the graph of the feasibility set, find the maximium of 7x + 4y subject to 2y-x ≤ 12…

A: LPP is as follows:Max subject toTo Find:a) Examine the graph and find the maximum value.b) At what…

Q: Find the Laplace transform of sin function. (Hint: Euler's Formula) f(t) = sin(at)

A: We have to find the linear transformation of sinat

Q: Let A = 2 [33] 34 a b -[:] d a) Find all matrices B AB = BA. b) Use the results of part (a) to…

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Q: Find the lowest common denominator for the group of fractions  1/14,  19/84, 2/7, 3/11

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Q: Use the contour map to calculate the average rate of change from A to B and from A to C if a = -6.…

A: Given: The contour map:where a=-6.To Find: Average rate of change from A to B and from A to C.

Q: Prove by induction: 1+2+2²+2³+ + ... ... + 2n = 2n+1_1

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Q: 2. Let A be as in the previous question. A number M is said to be an upper bound of A if a ≤ M for…

A: Part (a): Show B is non-emptyTo show that  is non-empty, we need to find at least one rational…

Q: 1 [[te=a+] = (s + a) ²

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Q: Consider the function f : R2 → R, (x, y) → √25-x² − y². (a) State and sketch the level curves for f…

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Q: Let A - -5 -2 -5 -10 -5 -7 -20 -7-22| Solve the equation using an LU factorization of and b - Ax = b…

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Q: se the graph of the function f(x) and the table of the invertible function k(x) to answer each…

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Q: Let 8(x)=-x² + 3x-4. For which value of x is the instantaneous rate of change greatest in magnitude?

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