solve the following system of linear equations using an LU factorization: x1 + x2 + x3 = 1 x1 + 4x2 + 5x3 = 3 x1 + 4x2 + 7x3 = 5

Q: Find the eigenvalues of the given matrix. [13 -3] 60-14] Select one: A.-2 B.-1 C.-2, -1 D.-2, 1

A: We can find the eigenvalues as follows:

Q: 2х + 5y 3x + 9y -1 -3

A: answer is in next step

Q: 1 1 (c) 1 1 1 Lo 0 1 32 2 1 -2,

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Q: problem involves empirical probability. The table shows the breakdown of 86 thousand single parents…

A: Topic :- probability

Q: How

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Q: B. Let A = {1, 2, 3, 5, 6}, B = {3, 4, 6, 8} be two subsets of the universal set U = {1, 2, 3, 4, 5,…

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Q: An Artifact contains 42% of the Carbon-14 that it originally had. How long ago was the artifact…

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Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) +…

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Q: 2 4√5 9 3√5 15 10. Choose the correct answer. Solve by using the quadratic formula. Check all that…

A: Given problems:- 10   solve using quadratic formula x2 -5x-14=0 11. Simplify √5 √45

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

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Q: CO y=√x - 3 y= y = √3 8 2 -10-8 6 -4 -20 -2 -4 -6 -8 -10 2 8 10

A: Given the query is to find the correct option of the function of graph.

Q: which of the following sequences is converge or diverge: {²√n}, {} 8.6 10n

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1,8, 27, 64, 125, 216, 343, 512, 729.....

A: In these question, we can find the sequence pattern and find next three terms of the sequence.

Q: Consider the graph of g(x). y 6- 5.5 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 (a) Estimate g(100). g(100) = (b)…

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Q: Consider the following statements: p: 5 is an integer. q: √3 is an integer. r: 2 divides 4.…

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Q: Let be a binary operation defined by a + b = 3ab find (a + b) * a Option 4 Option 3 9a²b 9ab Option…

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Q: Prove that A and A' have the same eigenvalues. To prove that A and AT have the same eigenvalues it…

A: Here, to prove A and AT have the same eigenvalues.

Q: Solve quadratic equations using the quadratic formula.  2x+1=5x2

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Q: Find the minimum and maximum values of the objective function, and the points at which these values…

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Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…

A: topic - geometric sequence

Q: Ox=2 0=8 Ox=9 O2=0 1. Choose the correct answer. Solve. /8x-8=8

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Q: O -1; 2 1; 2 20. Choose the correct answer. Find the roots of the quadratic equation y = 2²-2-2 by…

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Q: x+a__1 x-b 4

A: We can solve the given problem by cross multiplying the terms.

Q: What is the slope of 4x+12y = 5

A: Converting the equation of line to slope intercept form

Q: If possible, find A + B, A − B, 3A, and 3A − 4B. (If not possible, enter IMPOSSIBLE in any cell of…

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: b) (fog)(2) d) (gof)(3)

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Q: Let u=(1,−1,2)u=(1,−1,2) and v=(1,0,1)v=(1,0,1). a) Find a unit vector that is orthogonal to both…

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Q: (a) √15 +9 5 (b) 32+ - 6 (c) 4 x 21 9 11 (d) X 14 13 Result is Rational O O O O Result is Irrational…

A: (1)JustI have ueed the property of sum of two rationals is rational. (2) sum of rational and…

Q: Find the equilibrium point of the demand and supply equations. Demand Supply p= 530 0.5x p = 298 +…

A: For equilibirium point, put demand =supply

Q: 9. In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the…

A: This question can be solved using the concept of geometric series.

Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

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Q: On your birthday your great aunt gave you $19000. You would like to invest at least $4000 of the…

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Q: 9. Find the inverse of each matrix or determine the matrix is not invertible. [83] (a) (b) [3] 2 1…

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Q: y 135%,

A: answer is in next step

Q: Writing logu- log av+2 logaw as a single logarithm results in which of the following expressions?…

A: We can simplify the logarithmic expression as below.

Q: Consider the matrix, 0 A = 1 0 a) Write A as a product of elementary matrices. b) What is the…

A: Solution is here

Q: Find a formula for Ak, given that A = PDP-1, where P and D are given below. A = [-16 24] -18 26 =…

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Q: What is 1x34

A: To find: 1x34

Q: 23. X f(x) 0 -1 2 0 4 4 6 1 8 -3

A: The table is a complete representation of f. By using the table to determine if f is one‐to‐one and…

Q: Given: Find: 1. 2. 3. 4. 5. 6. 7. 8. U = {a, b, c, d, e, f, g, h, i} A = {a, e, i} B = {b, c, d, e}…

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Q: Given the function f, a) determine the first derivative f', b) solve for the critical number/s (if…

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Q: Let T be a linear transformation from R² into R² such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

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Q: Find the value of 0 3√64.

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Q: Identify the correct mean, median, and mode for the given data. (53, 46, 53, 50, 56, 44, 60, 58, 53,…

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Q: If a b = 3a - 2b and x 8 = 41, what is the value of x? 21 19 17 25/3

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Q: How many committees of two or more can be selected from 10 people? A 21⁰-10 B) 21⁰-12 21⁰-1 (D)…

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Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. -30…

A: Follow the procedure given below.

Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

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Q: Compute a) ( 5-2)^2 x 7 + 4 b) 3+2^3 x 4

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Q: 17x sin 6 cos(-210°) cos270° tan450° undefined a. b. 0 1 C. 73 d. -√5 2

A: I am attaching image so that you understand each and every step.