MATH 308 Quiz: Quiz1-Summer2015

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turquoisegnu128

31 Jan 2019

School

Department

Mathematics

Course

MATH 308

Professor

All

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Document Summary

Math 308f - first quiz - 15 points - 25 minutes: consider the following system of linear equations. x1 + x2 + x3 + x4 x1 + 5x2 7x3 x1 7x2 + 17x3 + 3x4. 1: consider the following system of linear equations. If there are in nitely many solutions, indicate the free equations. variables. If there are no solutions, kindly indicate why. 2: (2 points) consider the following statements. Statement i : suppose we have a system of linear equations with 691 variables and 389 equations. Statement ii : suppose we have a system of linear equations with 389 variables and 691 equations. Then, this system is guaranteed to have in nitely many solutions. Choose the right option. (a) both statements are false. (b) statement i is true. Statement ii is false. (c) statement ii is true. Statement i is false. (d) both statements are true: (3 points) only one of the following statements is false.

Related Questions

1. Consider the augmented matrix: (linear algebra)

a) Convert the matrix to echelon form

b) Obtain the reduced echelon form from the previous step

c) write a solution set for the corresponding system of equations

(Linear Algebra) 3. A linear system containing three equations in the seven variables x₁, x₂, x₃, x₄, x₅, x₆, and x₇ has an augmented matrix of the following form: