Use the given LU factorization to find all solutions to Ax = b -7 4 9 |,b : 1 0 01 -7 1 0 -1 7 1 -39 A = 264 -24

Q: perform the indicated calculations 2 + 2 + 2 in Z3

A: 2+2+2= 6   We have to find 6 in Z3 We will divide 6 by 3 and take the remainder.

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Step:-1 Statement:-  Given Statement is  a3 +b4 =c5 ----(1) Counter Example:-  Take a=28,  b=26  and…

Q: Prove that: m3 = m – 3m,m, + 2m²

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: What formula should be entered in A3 to compute A1 times B1?

A:

Q: Find the two smallest positive solutions of 5sin(5x)=3

A: 5sin(5x)=3 sin(5x)=.6 sin(5x)=sin36.87°

Q: For which values of a and m does ax = 1 have a solution in Zm?

A: Claim:

Q: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

A:

Q: Solve for w. w-10w+21=0 ution

A: Given, w2-10w+21=0

Q: Select the correct value of Ax by using relaxation method to solve the following simultaneous…

A: Given,       4X1+2X2-3X3-16=0             4X2+6X3-8=0   X1+4X2+2X3-12=0

Q: For which values of a, b, and m does x + a = b have a solution in Zm?

A:

Q: Use the given LU factorization to find all solutions to Ax = b 0 5 1 0 0 15 A = 4 1 0 0 -2 |, b 54…

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Q: Compute Re if z₁ = 5√√2 + 2√3i, and z2 = 3√√√2-5√3i 2

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Q: Express in terms of i. V- 54 -54 %3D (Simplify your arswer. Type your answer in the form a + bi.)

A: Given : -54

Q: Find a general solution of ди ди 2- + 3 2u ar

A: Given the pde

Q: Select all equations that are equivalent to x2 + 6x = 16. O x² + 6x + 9 = 0 O x2 + 6x + 9 = 16 O x2…

A: Use the formula x2+2xy+y2 = (x+y) 2

Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Solve the following IBVP: 0 0, u(x,0) = 2 – 2x2, u(x,0) = 0, 0 0, %3D %3!

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Q: Solve the problem. 14) If u = -9i – 2j and v = -3i + 7j, find u V.

A: Let us consider two vectors u=ai+bj and v=ci+dj then u-v=(a-c)i + (b-d)j

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: For which values of a does ax = 1 have a solution in Z5?

A:

Q: By using the iterative formula Xn+1 and xo = O O 0.3652 O 1.3652 O2.6352 = 1.5, then the value of x5…

A: Find the value

Q: 3 Find the general solution of i = Ax, where A = -8-

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Q: Select all the equations that are equivalent to 8k= 20. %3D 8k - 4 20 +4 O 8k X 3= 20 X 3 O 8k X 5=…

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Q: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. X1 + 5x2 – x3 = 7 4x1 + 3x2 +…

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Q: Use the given LU factorization to find all solutions to Ax = b. [1 0][9 A = 5 1 -2 112 b = 546 181 x…

A: Value of x=(X1,X2)=(-7,-7) See below

Q: The Cholesky factorization of 53 is UTU where U is: 3 2 V5 5 -3 V5 1 3. 0 1/5] V5 5 3 0. 1

A: The given matrix is,5332

Q: find the general solution to Ut – 2Ux = 0 |

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Q: show that x'-15x +C= O has at most root on E2,2] one

A:

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: Solve the PDE of the first order и, — и, — 0, и(х,Зх) — 2? и (х, Зг) — Ur – = x

A: Given problem is :

Q: Use the Cayley - Hamilton theorem to calculate 3 -2 -1 A-1 and A4 if A = 3 4 -2

A:

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: В Calculate A and B so that + %D 1+x 1-

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Q: W V. 54 ° U 216° 5x + 1

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Q: :By using NMR, the solution of \( x^3-x=0,x_0=0 \) is :Select one a. 1.325 b. 1.347

A: The given equation is x3-x=0 the initial condition is x0=0 we can use any Numerical method , to find…

Q: Q4/Solve the following Assignment problem using the Hungarian method 1 2 JI 8 3 J2 5 1 J3 6 0 J4 8 3…

A: Step 1. Determine pi , the minimum cost element of row i in the original cost matrix, and subtract…

Q: Use the LU factorization to find all solutions to Ax = b. [1 0 01 [4 - 2 1 0 0 8. - 6 1 A = 0. 1 0…

A: Value of x=(X1,X2,X3)=(3,-2,0) See below the calculation

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

A:

Q: 27 is a supplement of Z8, and m27 = 109°. Find m28. %3D m28 %3D

A: It is given that, ∠7 is supplementary of ∠8,  and m∠7=109° We have to find m∠8=?

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Use Cayley-Hamilton to find Bª and B¯1 . Where [1 B = |0 2 1 [3 -1 1.

A: cayley hamilton theorem

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that w =…

A: We need to find the number of non-negative integer solutions are there of the equation: x + y + z +…

Q: For which values of a does ax = 1 have a solution inZ6?

A: Z5=0,1,2,3,4,5ax=1If a=0, then 0x=1⇒ No solution.If a=1, then 1x=1⇒One solution,x=1

Q: 1. Solve the following set of equations using Excel: 6x1 + 2x2 + 5x + 4x2 + X3 X4 14, X3 X4 3x5 0,…

A: Consider the set of equations: 6x1+2x2+x3+x4          =145x1+4x2+x3+x4-3x5=0…

Q: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. X1 + 5x2 – x3 = 7 4x1 + 3x2 +…

A: 2. Solve using Gauss-Jordan Elimination and check using Cramer's Rule. x1+5x2-x3=74x1+3x2+6x3=15