Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Part I. 1 -2 [5 -/2] 1 71 A = 6. -3 B = C = -8 6 D = 3 2 [¼ 2 3] [1 4 А. Evaluate [E] where [E] = [A]x [B] В. Find det E

Part I. 1 -2 [5 -/2] 1 71 A = 6. -3 B = C = -8 6 D = 3 2 [¼ 2 3] [1 4 А. Evaluate [E] where [E] = [A]x [B] В. Find det E

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
See similar textbooks
icon
Related questions
Question
Part I. 1 -2 4 1 71 А — 6. -3 В — С — -8 6 D = |¼ 2 [1 4 [sym. A. Evaluate [E]where [E] = [A]x [B] В. Find det E Find [F] where [F] = [E] + [C] What special type of Matrix is [F]? C. D. Part II. 2x + 2y + 5z = 15 х — 5у + z %3 —6 10х — у + 2z %3D 30 A. Solve the system of linear equations using GAUSS-SEIDEL Method. i. Use xo = yo = zo = 0 and use ɛ = 0.01 ii. Compute for the absolute error of x, y, and z, accurate up to 5 decimal places, starting at the iteration. Show the values of x, y and z from the first iteration as fraction or accurate up to 5 decimal places. You can check for a benchmark answer using your calc's MODE-5-2 (EQN). İii. Use the absolute error as the stopping criterion OR 5 iterations - whichever comes first. State all assumptions and considerations made (e.g. diagonal dominance. In case of non- iv. convergence, check your solution). Part III. A certain engineering phenomenon was modelled to be given by the function: f (x) — х siпх — 4 A. Find the root of this function in between the interval [6 ,7] using the NEWTON-RHAPSON method В. Start your initial guess at xo =6 C. Use e = 1 x 10-5 and the function deviation f(Xn) as the stopping criteria D. Set your calculators in RAD (radians mode) since a trigonometric function is involved. [SHIFT-MODE-4] You can use SHIFT-SOLVE to have a benchmark of our theoretical answer, but this will have no bearing in Е. our solution.
Transcribed Image Text:Part I. 1 -2 4 1 71 А — 6. -3 В — С — -8 6 D = |¼ 2 [1 4 [sym. A. Evaluate [E]where [E] = [A]x [B] В. Find det E Find [F] where [F] = [E] + [C] What special type of Matrix is [F]? C. D. Part II. 2x + 2y + 5z = 15 х — 5у + z %3 —6 10х — у + 2z %3D 30 A. Solve the system of linear equations using GAUSS-SEIDEL Method. i. Use xo = yo = zo = 0 and use ɛ = 0.01 ii. Compute for the absolute error of x, y, and z, accurate up to 5 decimal places, starting at the iteration. Show the values of x, y and z from the first iteration as fraction or accurate up to 5 decimal places. You can check for a benchmark answer using your calc's MODE-5-2 (EQN). İii. Use the absolute error as the stopping criterion OR 5 iterations - whichever comes first. State all assumptions and considerations made (e.g. diagonal dominance. In case of non- iv. convergence, check your solution). Part III. A certain engineering phenomenon was modelled to be given by the function: f (x) — х siпх — 4 A. Find the root of this function in between the interval [6 ,7] using the NEWTON-RHAPSON method В. Start your initial guess at xo =6 C. Use e = 1 x 10-5 and the function deviation f(Xn) as the stopping criteria D. Set your calculators in RAD (radians mode) since a trigonometric function is involved. [SHIFT-MODE-4] You can use SHIFT-SOLVE to have a benchmark of our theoretical answer, but this will have no bearing in Е. our solution.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS