2. Compute the CR decomposition of matrix C.12 -1 -526-5-20-1-6 5 21 -17 -130611621C =2 -7 -184 -2 -112.-1-4414GLEBA

Given: A matrix To Compute: The CR decomposition of matrix .To compute the CR (Cholesky-Rice)…

Answered: - Compute the CR decomposition of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. In each part below, an elementary matrix is shown next to a matrix A. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A -2 5 -1 (a) E = A = 3 -6 -6 -6 2 -1 -4 (b) E = |0 A = 1 -3 -1 5 3 -3 1 1 -1 [1 4 4 (c) E = 0 0 0 1 A = 2. 5 1 3 6.
10 5 -3 . Consider the matrix A whose RREF is o 1 2 1 000 0 Which of the following vectors is in the null space of A? -1 -3 -0 -0 -0 -0 (a) (b) 3 (d)
9. Find the QR decomposition of matrix 3 1 -2 A = 1 1 1 -1 2 4 where diagonal elements in R are negative. Write down the sum of elements in matrix R as the answer to this question Please enter a numeric value rounding your answer to the nearest hundredth.
Section 3.2: Number 5(h) only!!
2. Consider the system Ax = b with 1 -3 -5 10 -2-48 -3 10 15 A ,b= 50 12 (a) Write down each of the elementary matrices that reduce A to an upper triangular matrix U. (b) Write down the system Ux = c which is equivalent to Ax = b. (c) Solve the system Ux = c for x. No image
Consider the below 3 equations, U₁ = C₁-C₂ + C3 U₁= C₁ + (0*C₂)+ (0*C3) = C1 U₁ = C1 + C₂ + C3 In Matrix form, 1 -1 1] 10 1 Solve to get the below final form, C₁ 5 C3 || C₁ U₁ 0₁²₂}=- u, 1||C3 U₂ 12 U₁ (u₁-2u, +Ug) ¹ (Ug-u₁)
aliil JlaSl aL find (a) AB (b) BA (if they are defined) for the following matrixes 2 1 0-1 0 -3 4 1 6 4 0 2 8-1 7 6 -21 5 (a) 8 -3 19 2 7 (b) Not defined 1 -12 5 (a) 4 -2 19 2 7 3 3 -4 (b ) 10 16 26 46
7.Find the inverse of the given matrix [1 A = 1 [1 a) A-¹ = b)A-¹ c) A-¹ d) A- = || = -1 1] 1 1 2 4 = 1 6 1 6 116 16 1 0 1 2 -3 1 26 -2 [1 1 -1 3 6 3 -3 -3 1 -3 2 30 1 -1 5 [1 6 1] 1 4] NON 1 6 4.
8. Transform the augmented matrix M to triangular matrix. -1 -1 4 -1 (A) 0 0.67 4.33 3.33 (B) 0 0.67 -4.33 3.33 Riz Ri-(RX 21) 0 6.50 12.0 -1 -1 0₁-6.50 12.0 -1 -1 (C) 0 -0.67 4.33 (D) 0 -0.67 -4.33-3.33] (3-4-14 છે. 0 lo 0 -6.50 -12.01 201² + 2001 2x142 1 300309 -3.33 6.50 -12.0 Els M=4 -2 3 2 L2 1 -5 -1
0 1 12 -7 9 -3 -3 invertible matrix P satisfying A = P-¹BP. Show that A P-1 = = 0 1- and B = -19 24 -16] -22 30 -18 27 -22 are similar matrices by finding an -21, P =
2. Diagonalize the following matrix: 1 13 7 -5 -7 -1 1 6. 1 1 13 1 1 A. 0 6 -1 7 -5 -7 1 -1| -12 -1 1 1 -1 7 -1 1 1 1 1 1 1 13 5 1 1 1 В. |0 -9 1 -1 7 -5 -7 1 Lo -121 1 1 1 -1 7 -1 1 1 6. 1 1 1 13 5 1 С. |0 —6 -1 1 -5 -7 1 -1 Lo -12] 1 -1 -1 7 D. Not diagonalizable LO
Can someone please explain to me ASAP???!!!

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- Compute the CR decomposition of matrix C. 2 -1 -5 6-5-20 C = 1 2 -1 0 1 2 44 14 11 5 21 -17 -13 2 -7 -18 6 -1 4 -2 -11 16 15 2.-1 -4 1 2 -6