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i need help with this assignment, For every problem need to be solve by using the equation that show on the file. Also, the final answer should be highlight it.




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2018 Fall Semester ME 349 Engineering Analysis Homework, Part 5 Assigned: 10/02/2018 Due: 10/09/2018 Student__________________________CWID_____________________________________ For every problem, perform all calculations by hand. Provide all details of calculations in the report. Problem 1: Find matrix product a) b) c) d) 1 2 4 1 2 2 , 7 3 for 2 1 4 1/2 , 2 1 3 2 0 4 , 2 5 3 1 0 0 0 1 0 , 0 0 1 2 7 2 0 2 . 2 2 2 2 2 3 1 0 5 24 0 15 3 4 . 3 3 8 . 3 Problem 2: Find the transpose of the following matrices a) b) 2 2 2 2 1 4 1 0 5 0 2 2 3 4 3 Problem 3: Consider a system of linear equations 2 5 2 2 2 0 5 2 1. Find the matrix of coefficients of this system and vector of right hand sides write this system in the matrix form. 2. Find solution of this system using the Gauss elimination. and Problem 4: Find the solution of the system of linear equations by the Gauss elimination: 1. Find the matrix of coefficients and vector of left hand sides after the forward sweep. 2. Find the solution of the system. 1 1 2 0 1 2 4 3 0 1 , 0 1 5 4 0 2 2 1 . 1 0 Problem 5: Consider the matrices 1 1 2 1. 2. 3. 4. 5. Calculate . Calculate . Calculate . . Calculate Solve the SLE 1 3 2 1 0 , 2 1 0 2 3 2 , 1 0 2. 1 by hand using Gauss elimination technique.
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