Use a determinant to find the value of a that make the matrix A = a a -1 2 3 2 3 non-invertible. -1 1 2

Q: Consider the ordered bases B = ((-5, 3), (-2, 1)) and C = ((2, 1), (-3,4)) for the vector space R².…

A: Dear Student,       As per our guidelines we can answer only first three subqustions. So kindly…

Q: Construct any 2 by 3 matrix of rank one. Copy Figure 4.2 and put one vector in each subspace (and…

A: First we have to construct a 2x3 matrix of rank 1. then find the vector in the subspace (row space…

Q: 1. Use the variation of parameters to solve: x³y" - x²y" =8lnx

A: Therefore the general solution is y(x)=34log2(x)​+932log(x)​+c1​x3+c2​x+c3​Explanation:Step 1:

Q: Which of the following statements about claims is not accurate?         Claims are…

A: The objective of the question is to identify the statement that is not accurate about claims. A…

Q: 16. 0"(t)(t) = t sint

A: The objective of this question is to find the derivative of the function f(t) = t * sin(t).

Q: 2. Evaluate the following limits: 7.6 a) lim 102 r4 20 b) lim q-3-79-6 q∞ 2q4+4q-3-10q-8 -7x3+7 c)…

A: Since Curve is continuous in the interval 2≤p≤5 also given that limit exist at p=3,So, we can choose…

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A: To solve the diffusion equation on the half-line with the given boundary and initial conditions, we…

Q: P5.18 Consider the third-order system 1 G(s) = = s3+5s2+10s +1 Determine a first-order model with…

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Q: 4. How many triangles can you draw using the dots below as vertices? a. Find an expression for the…

A: This is my final answer. Explanation:Step 1: Part(a) Explanation: The vertices of a triangle are…

Q: y" - 9y = 5e²t, y(0) = 6, y'(0) = 1

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Q: (2) Consider the following LPP here a1, maximize subject to У a1x1.. +anxn+y-t = b x1,xn, y, t≥ 0,…

A: subject to We have to find the dual of the problem and solve it.

Q: Ralph Lauren Corporation (RL) designs, markets, and distributes a variety of apparel, home décor,…

A: The objective of the question is to calculate the accounts receivable turnover and the number of…

Q: Solve for x: 74x-393-9

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Q: Find the flux of the vector field F = xi + ej z k through the surface S given by that portion of the…

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Q: From a crushed quartz sample, the fraction less than 5mm must be removed by screening. The feed…

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Q: Consider the equation r = (a) Find the eccentricity. (b) Identify the conic. 3 4-8 cos 0 (c) Given…

A: Given equation .

Q: A DT system is described by the difference equation y[n] + 1/2 y[n - 1] - 1/2 y[n - 2] = x[n] - x[n…

A: (a) Expressing the difference equation in operator notation E:The given difference equation…

Q: The general solution of y' = X У can be written in the form = C

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Q: ection 5.1 Number 4(b) only with perfectly and com

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Q: - a) Consider f: Z × Z → Z defined by ƒ ((a, b)) = a − b. Show that f is a surjective homomorphism.…

A: Answer: proofs are in the uploaded photos, if you find any issue, just let me know.Explanation:Step…

Q: Find i​ (the rate per​ period) and n​ (the number of​ periods) for the following annuity. Quarterly…

A: Rate per period (i): 0.01625Number of periods (n): 28 quartersExplanation:We may solve this by…

Q: (b) As part of a conservation project, Daniel was asked to measure the circumferen trees that were…

A: The objective of the question is to interpret the value of the product-moment correlation, r, which…

Q: Select 2 objects that are the same shape: S r

A: When two objects have the same shape, it means they have identical geometric properties such as…

Q: Given -7 -1 A = 3 2 4 6 let a₁ and a₂ be the columns of A, let B = {1, 2} and let H a. The number of…

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Q: Problem 1 Let A = (1) Find the domain and the codomain of TA. (2) Find Ker(TA). Is TA injective…

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Q: Compute the determinant of the following by doing a cofactor expansion about any row or column of…

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Q: The set B = {4+x², 20 - 3x+5x2, 45-6x + 11x2} is a basis for P2. Find the coordinates of p(x) = 6x -…

A: 30-1Explanation:

Q: Future Value of an Investment The newly opened Mario's Trattoria is expected to produce a continuous…

A: The answer is in the explanation.Explanation:- A continuous income stream R(t) = $140,000 per year.-…

Q: An outboard motor has an initial price of $2,160. A service contract costs $400 for the first year…

A: Given, that initial price of the outboard motor:Service contract cost for the first year: Service…

Q: Construct a matrix with the required property or say why that is impossible: (a) Column space…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A) Find the Eigenvalue and Eigenvector B) Classify the critical point (0,0) and state if it's stable…

A: Final Solutiona)Eigen values  -λ1=1,λ2=1    Eigen Vectors=e1=(21​)   and e2=(01​) b)Since both…

Q: Isabella is filing taxes. She lists her deductions as $5,200 for using her home as her business, a…

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Q: Use complementary slackness and the solution to its dual problem to find solution(s) to the primal…

A: Formulate the Dual Problem: Derive the dual problem from the primal linear programming problem.Solve…

Q: 0 2 2 Let A = = Is the vector b = in Null A or Col A? Explain 0 -1 1 1

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Q: Consider the system x + y + bz x + by +4z ax+ay+2z = 2 = 1 = a In each case, determine all values of…

A: Given system of linear equations are in the following : in matrix form Now consider the augmented…

Q: 6. The solid region bounded above by the cone z 8-√√x²+ y², on the sides by the cylinder x² + y² =…

A: The cone equation is :

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A: We can express the distance between the tower and each city using the distance formula: distance =…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Determine the two singular points of the differential equation (x² - 81)y" + (9 − x)y′+ (x² + 18x…

A: In first question option (C) is correct.(c). At least one non-zero solution remains bounded near x1…

Q: Suppose that an integer a has order 33 modulo p, where p is some prime. Find the smallest integer k…

A: Given that an integer a has order 33 modulo p, where p is prime.This can be written as a33≡1(mod p),…

Q: show clear and accurate human working out, please.

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Q: 5. Find A-1 and A4 if 3 0 0 0 0-1 -1 0 0 A = 0 0 1/2 0 .0 00 1

A: 5. Given that the matrix is                                To find

Q: Let Hspan {(-3,-1,-2), (17, -1, 10), (-5, 0, -3)}. A basis for the subspace HCR³ is { vector

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Q: A) Find the Eigenvalue and Eigenvector B) Classify the critical point (0,0) and state if it's stable…

A: Given system of differential equation

Q: The best one can say, without actually solving the differential equation, x(x²+x-72)y"+9(x-2)y' +…

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Q: Assignment 9 Section 5.1:Number 5(d) only! perfectly and complete explanations.

A: Eigen value =4Ordered Basis for V:{x-2,2x-4}Matrix representation 9f T with respect to this basis:…

Q: Problem 1 Let A = (1) Find the domain and the codomain of TA- (2) Find Ker(TA). Is TA injective…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: show all th work with correct ans

A: The standard matrix is:…

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A: The return from an investment that is in turn being expected by an individual is known as the…

Q: 4. Let S be the subspace of R4 spanned by 2 -2 0 0 and X2 2 2 a. Find orthonormal bases for S and S.…

A: The standard inner product of R4 is defined by<X1,X2>=x1x2+y1y2+z1z2+w1w2For every two vectors…