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# Let A = 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 , b = 5.00 1.02 1.04 1.10 An approximate ISBN: 9780136009290 436

## Solution for problem 38 Chapter 7.4

Linear Algebra with Applications | 8th Edition

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Problem 38

Let A = 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 , b = 5.00 1.02 1.04 1.10 An approximate solution of Ax = b is calculated by rounding the entries of b to the nearest integer and then solving the rounded system with integer arithmetic. The calculated solution is x_ = (12, 4, 2, 1)T . Let r denote the residual vector. (a) Determine the values of _r_ and cond(A). (b) Use your answer to part (a) to find an upper bound for the relative error in the solution. (c) Compute the exact solution x and determine the relative error _x x__ _x_ . 3

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2.2 Linear equations are one variable 2x-3=0 is a linear equation in one variable Linear equation with two variables 2y+2x=0 Such an equation represents a line How do we find equation for a line Given two points (1,8) (0,1) on a line. Find an equation. Y-y1=m(x-x1) to change to slope intercept distribute slope and add y sub one value to equation. How can you tell the relationship between two lines The two lines can be parallel or perpendicular. Set equations equal to one another. Y=1/2x-1 Y=x+1 To find x then substitute x value into original equation. 2.4 Complex Numbers I=sqrt of -1 2=2+0i

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##### ISBN: 9780136009290

This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 47 chapters, and 921 solutions. The full step-by-step solution to problem: 38 from chapter: 7.4 was answered by , our top Math solution expert on 03/15/18, 05:24PM. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009290. The answer to “Let A = 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 , b = 5.00 1.02 1.04 1.10 An approximate solution of Ax = b is calculated by rounding the entries of b to the nearest integer and then solving the rounded system with integer arithmetic. The calculated solution is x_ = (12, 4, 2, 1)T . Let r denote the residual vector. (a) Determine the values of _r_ and cond(A). (b) Use your answer to part (a) to find an upper bound for the relative error in the solution. (c) Compute the exact solution x and determine the relative error _x x__ _x_ . 3” is broken down into a number of easy to follow steps, and 114 words. Since the solution to 38 from 7.4 chapter was answered, more than 241 students have viewed the full step-by-step answer.

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Let A = 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 , b = 5.00 1.02 1.04 1.10 An approximate