Consider the matrices below and find the requested products if possible a. Find AB. b. Find BA. A = [4 L2 2 2 5 0 -3 1 1]. B [8 2 1 -2 4 Lo

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Q: 4. Suppose d € Z with d > 1. This ensures that √-d & Q. Prove that Z[√-d]× = {±1}. (Hint: use the…

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Q: ical coordinate limits for the integral that calculates the volume of the solid enclosed by the…

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Q: Which of the following vectors are orthogonal to product inner product -2 ·O·-- 2 3 , using a dot- 1…

A: The given vectors are: .To check which of the following vectors are orthogonal to the given vectors:

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Q: You must choose one problem from each category below. All exercise numbers are rom the Nicholson…

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Q: The strain tensor e¡¡is given by the following expresión: eij 1 x²x²x1x3 X3 x² x²5a² x² \X1X3 where…

A: As per the question, we are given a strain tensor eij, and our task is to verify whether the…

Q: 10x, + 2x₂-x3=27 -3x, -6x₂ + 2x3 = -61.5 x₁ + x₂ + SX3 = -21.5

A: The system of equations We have to solve using Jacobi method.

Q: Let x = Let W be the subspace of R5 that is spanned by the vectors V1: -9 be a vector in R5. 0 2,02…

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Q: Refer to P₂ with the inner product given by evaluation at -1, 0, and 1. Compute (p.q), where p(t) =…

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Q: We are given m data points of the form (a¿, b¿) for each i € [m], where a¿ € R² and bį ER, and wish…

A: As per the question, we are given m data points and wish to build a linear model that predicts the…

Q: Draw two contour lines of the function showing level curves for k = 0 and k = 1

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Q: . If A and B are sets in a universal set U, then AUB=AnB. A-(BnC)=(A-B)U(A-C). . If A, B and C are…

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Q: Complete the truth table below for ~q V p

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Q: Given a function s(x) such that s'(x) > 1 on [0, 7]. If s(0) = -9, which of the following could be…

A: Given function s(x) such that s'(x)>1 on [0,7]. If s(0)=-9, we have to find  the possible values…

Q: (2) For every vector u and vector v in se A) True B False

A: Introduction: Vector is a quantity that has both magnitude and direction. Some mathematical…

Q: A committee of seven Congressmen will be selected from a group of seven Democrats and four…

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Q: V1 2 = (-₂) ₁ x ₂ = (²) V2 2

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Q: The point of intersection of the graphs of the equations Ax - 4y = 6 and 4x + By = -10 is (1, -3).…

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Q: Solve the given differential equation. 9xy" +9y¹ = 0 y(x) = X > 0

A: First we discard the factor 9.Making the given equation to a homogeneous equation and then…

Q: Solve the initial value problem below. 3y (3) + 6y"=0, y(0) = -1, y'(0) = 0, y''(0) = 1 y(x) =

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Q: Find all points on the graph of the function f(x) = 2 cos(x) + cos²(x) at which the tangent line is…

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Q: 5.) A lake is stocked with 500 fish. The number of fish in the lake can be described by P(t)=10000…

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Q: Complete the truth table for the compound statement: (pV~g) → (r^~p) TA~D (pV~g) → (r^~p) ?C ?C ?C…

A: Here, we have to complete the given truth table and check whether the given compound statement is…

Q: A baseball scout wants to assess the talent at 5 local colleges. The scout took the top 6 players at…

A: The given data,xy5.17.713.112.219.213.416.58.2215.210.66.17.97.83.12.12.38.2We have to find the best…

Q: 5) There is only one or thonormal basis for any vector space. A) True B) False

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform -5s e (6³³) a.…

A: The following formula can be used to determine the inverse Laplace transform of…

Q: This exercise refers to P₂ with the inner product given by evaluation at 1, 0, and 1. Compute the…

A: This exercise refers to  with the inner product given by evaluation at .Compute the orthogonal…

Q: Use cylindrical coordinates to find the indicated quantity. 2 Volume of the solid bounded above by…

A: Cylindrical coordinate: A point of the form  in the three dimensional cylindrical coordinatesystem…

Q: 2. Let E=(e₁,e2,e3} be the standard basis for R³ and B={b₁,b₂,b3} be basis for vector spaces V, and…

A: Given thatLet  be the standard basis of  be the basis of vector space VLet  be a linear…

Q: When a parachute opens, the air exerts a large drag force on it. This upward force is initially…

A: The mass of the sky driver m = 82.0 kg.The magnitude of the drag force is

Q: Consider P2 with the inner product given by evaluation at -2, 0, and 2. Compute the orthogonal…

A: Consider P2 with the inner product given by evaluation at -2 , 0 and 2.i.e. <p , q> = p(-…

Q: These are the values in Irwin's data set. (1,43),(3,36),(5,22),(6,25),(8,14) Irwin determined the…

A: The actual data is   where is the actual value of and the predicted value is where  is the…

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Q: A certain experiment produces the data (1,1.7), (2, 2.7), (3, 3.2), (4, 3.7), (5, 3.9) Describe the…

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Q: A contour map is shown for a function f on the square R = [0, 6] x [0, 6]. y 6- 3 3 30 30 40 (a) Use…

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Q: For the functions f(x)=2 and g(x)=, find the compositioni fog and simplify your answer a (+8)(x)=…

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Q: Given an integer a, then a² + 4a +5 is odd if and only if a is even.

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Q: Let K be an extension of a field F and let a∈K  be an algebraic element of degree n, then [F(a):F]=n

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Q: Consider the following hypothe Home Games Away Games basketball records for college A and college B.…

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Q: 3 Σ1Σ1 Determine the value of the double sum.

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Q: Give an example of a defective matrix whose rank is not equal to the number of nonzero eigenvalues.

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Q: Make an AVL tree out of the following tree

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Q: 5. If p and q are positive integers, then {pn:neN} n {qn:neN} # Ø.

A: Given that, p and q are positive integers.

Q: Question 2 Use the Laplace transforms to solve the differential equation dy² +4dy - dx² dx 12y =…

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Q: Let H be any complexes of a group G, then (HK)\power{-1}=K\power{-1}H\power{-1}

A: H be any complexes of a group  then

Q: Find the Q R factorization of the following matrices: TT 2 1 1 3

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Q: 7.2.11 Prove that sin² x Lo st Л -dx = x2 2

A: To prove  To  prove the  above  result  we  have  to first recall  that   Proof: Let   and .…

Q: Prove that x* = (1, 0.5, -1) is optimal for the following optimization problem min 1xAx+b²x S.t.…

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