The Questions OCompun(mam2-altoubi) DewisUVEEstolThe QuestionsmationQuestion 5.it AllwersGiven the tridiagonal matrix[1.24 0.22320.02 1.8336 1.7751Leftstion 10.392.3583 0.1188paMsu0.031.3918estion 2wnsweredwork out the values I,, i = 1,...,4 and u, i= 1,...,3 in the LU factorisation A= LU withestion 3answered07ri ul 0070.02120.0 1U=u2pestion 4completeL =0.39130 0u30.03 14uestion 5 +ot complete1Use the LU factorisation to solve the system Ar = b with0.436487.912091b 3=7.168095-5.490818for z,i=1,....4Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.(a) -. Ig = O.4 = O(b) u =(c) z1=z3 - O. z3 = O. = O

The given matrix is: A=1.240.2232000.021.83361.7751000.392.35830.1188000.031.3918 The matrix…

The Questions Question 5. Given the tridiagonal matrix [1.24 0.2232 0.02 1.8336 1.7751 0.39 2.3583 0.1188 0.03 1.3918 work out the values I,, i 1,..4 and u,i 1,..,3 in the LU factorisation ALU with 11 1 ul 0.02 12 u2 0.39 13 u3 0.03 14, 5+ te Use the LU factorisation to solve the system Ar b with 0.43648 7.912091 7.168095 -5.490818 for a, i1,...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a)- (b) (c) =

The Questions Question 5. Given the tridiagonal matrix [1.24 0.2232 0.02 1.8336 1.7751 0.39 2.3583 0.1188 0.03 1.3918 work out the values I,, i 1,..4 and u,i 1,..,3 in the LU factorisation ALU with 11 1 ul 0.02 12 u2 0.39 13 u3 0.03 14, 5+ te Use the LU factorisation to solve the system Ar b with 0.43648 7.912091 7.168095 -5.490818 for a, i1,...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a)- (b) (c) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Given the tridiagonal matrix 1.58 0.6004 0.91 1.9458 1.296 0.11 1.5491 0.8614 0.93 2.0687 work out…

A: LU decomposition is a method of numerical analysis used to solve system of equations. In LU…

Q: Q.2 Let B = 26 Find a matrix A such that A = B 27

A: B=102627 Characteristic equation of B is given by detB-λI=0 1-λ02627-λ=01-λ27-λ=0⇒λ=1, 27

Q: Find the matrix [T]s.a for T:P2 M22 where B= {1,x,x?}, B'= a+b b =| and T(a+ bx+ cx) C 2c

Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

Q: 1 1 1 1 а? а a2 j0.6579 -j2.6017 j1.9438 | 4.058/165.93° 4.058/14.07° 1 а

A: Given that,I3aI3bI3c=1111a2a1aa2j0.6579-j2.6017j1.9438=04.058∠165.93°4.058∠14.07°

Q: [1 2 3] Let A = 1 3 9. Then the adjoint of A is given by: %3D L2 5 7] T-24 1 -24 -1 9. 11 -1 -6 -11…

Q: Given the tridiagonal matrix [1.14 0.399 0.19 1.3465 1.1136 0. 0.38 1.7006 0.0548 0. 0. 0.59 1.9336…

A: given matrices are…

Q: 1. -3 4. -3 Given A= 0. and B 1. find an elementary matrix E such that EA = B. 1. E - 0 1 0. 1. E- 0…

Q: 2 -3 Let A = be a real matrix. The matrix p that diagonalizes A is 1 - 1 A. 1 P= 2 3. -1 B. None in…

Q: For all invertible matrices A and B, (AB) 1= A-³B¯1 O True O False

Q: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

Q: Bruce and Cruz had 294 bookmarks altogether. Bruce gave away 3/8 of his bookmarks and Cruz gave away…

A: Let the number of bookmarks Bruce has = B The number of bookmarks Cruz has = C therefore B+C=294…

Q: Given the tridiagonal matrix 1.1 0.198 0.83 1.8994 0.84 0.53 1.5044 0.2625 0.21 1.9541 ] work out…

A: Given tridiagonal matrix is A=1.10.198000.831.89940.84000.531.50440.2625000.211.9541 and its LU…

Q: QUESTION 6 For which value(s) of a will the matrix O 2a A = a+2 1 be orthogonally diagonalizable?…

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

Q: -14 12 Find P which diagonalizes the matrix A = m m ww ww mw - 20 17 1 1 5 P = 3 4 4, 1. O 1 2 3 5 P…

Q: A. For the given matrices, verify directly that (RS)* : S*R* and (EP)* = p*E* 1 3 i S = 1 0 1.R= 3i…

Q: 6 2 2 For the matrix A =4 1 4 what is the element in the third row 3 2 9. and second column of the…

A: so given A = 622414329 so we have to find the element of third row and second column of the matrix…

Q: Question 5. Given the tridiagonal matrix 1.96 0.9996 0.19 1.8469 0.4025 0.69 1.4087 0.1125 0.98…

A: LU decomposition is a method of numerical analysis use to solve a large number of system of linear…

Q: Question 13 1 E = Let E be the 3 x 3 matrix that corresponds to the row operation R3 = R3 - 3R₁. a.…

Q: (b) For the given matrix. 1 0. 1 4 0. 1 0. 6. 1 Find the new value of the matrix after applying a…

Q: Q.2 Let B = E Find a matrix A such that A = B. [26 27

A: Given That: B=102627

Q: In Exercises 3-4, find a row operation and the corresponding ele- mentary matrix that will restore…

Q: 1.3.3 Find the triangular factors L and U of 1 0 0 2 1 1 A = 1 1 1 2 In this case U is the same as…

Q: (6 2 2Y For the matrix A = ( 4 1 4 \3 2 9 what is the element in the third row and second column of…

Q: Which of the following matrices is in Row Echelon Form? 1 0-4 01 0 0 0 1 0 0 None of the mentioned…

Q: Question 7 Given matrix A below, answer the following questions, where column one is V1, column 2 is…

Q: B. 4 5. What is the measure of the angle the row matrix u = [-2 4] makes with the horizontal x-axis?…

A: If the row matrix with two component (x,y) makes an angle θ with the horizontal x axis then…

Q: Encik Samsudin, a PhD student has reported the concentration of E.coli bacteria, C(μg/L) in a…

A: Given: C=kmaxt25+2t2+3.5t To find the root and to determine the fastest time for the E.coli…

Q: 1 0 2 2. Given the matrix. A = 2 -1 3 find A-, using the Gauss-Jordan method 4 1

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Answer

Step by step

Solved in 9 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Matrix Factorization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

3
=) Find the matrix exponential eAt for the martrix 0 2 %3D -2 0
:)
Consider the following matrix. 1 P = 1 0.8 0.2 (a) Calculate P2 = P• P. (b) Calculate P = p2 . p2. (c) Calculate P°. (Round all entries to four decimal places.) 1 (d) Without computing it explicitly, find P000. (Round all entries to four decimal places.)
solve each set of equations by the method of finding the inverse of the coefficient matrix. Hint: See Example 3. y + z = 4 2x + y z = -1 3x + 2y + 2z =
Question 5. Given the tridiagonal matrix [1.58 0.6004 0.91 1.9458 1.296 0.11 1.5491 0.8614 0.93 2.0687 work out the values l;, i = 1,...,4 and u;, i = 1,..., 3 in the LU factorisation A = LU with 3 l1 r1 ul 0.91 12 0. U = 4 1 u2 L = 0.11 13 1 из 15 0.93 14 1 e Use the LU factorisation to solve the system Ax = b with -0.327376 3.465528 b = 3.081574 L-3.456302 for ri, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 = l2 = l3 = 14 (b) uj = u2 = uz = (c) 1 = 23 = P Type here to search 1080 acer F6 F8 DIO A
need help
9
Question 30.4 In terms of X,Y and Z find the matrix A if you are given the following: (5ZA'X)" = Y
100 Question 11 Let E = 1 0 0 0 01/10 0 1 0 001 00 1 Let X be any 3 x n matrix and set y := F-¹G²E³ X. Denote the first, second, and the third row of X by R₁, R2, and R3, respectively. Then the second row of Y is (a) −2R₁ + (1/4) R3 -- 1 -2 (b) 2R₁ + (1/4) R3 00 1 1 0 (c) 2R₁ (1/4) R3 (d) 2R₁ +4R3 (e) none of the above
Could you explain how to show this in detail?
D Question 16 Find the dimensions of the null space and the column space of the given matrix. A= 10 7 1 5 1 -2-4-5-4 1 O dim Nul A = 4, dim Col A = 1 O dim Nul A=2, dim Col A = 3 O dim Nul A-3, dim Col A = 2 O dim Nul A-3, dim Col A = 3 Question 17