Construct a nonzero 2x2 matrix A such that the solution set of the equation Ax = 0 is the line in R-through (5,1) and the origin. Then, find a vector b in R such that the solution set of Ax = b is not a line irR parallel to the solution set of Ax= 0. Why does this not contradict the theorem that states that if theequation Ax = b is consistent for some given b and p is a solution, then the solution set of Ax = b is the seof all vectors of the form w= p+v, where v, is any solution of the homogeneous equation Ax = 0?Construct a nonzero 2x2 matrix A such that the solution set of the equation Ax = 0 is the line in Rthrough (5,1) and the origin. Choose the correct answer below.O A.OB.1 -5O D.15155 51 -5-5 - 5Find a vector b in R such that the solution set of Ax = b is not a line in Rf parallel to the solution set ofAx = 0.(Type an integer or simplified fraction for each matrix element.)

Given that Line passing through the points (5, 1) and the origin (0, 0) equation of line passing…

Construct a nonzero 2x2 matrix A such that the solution set of the equation Ax = 0 is the line in R through (5,1) and the origin. Then, find a vector b in R such that the solution set of Ax = b is not a line R parallel to the solution set of Ax= 0. Why does this not contradict the theorem that states that if the equation Ax = b is consistent for some given b and p is a solution, then the solution set of Ax = b is the s of all vectors of the form w= p+ v,, where v, is any solution of the homogeneous equation Ax = 0? %3D ... Construct a nonzero 2 x2 matrix A such that the solution set of the equation Ax = 0 is the line in R through (5,1) and the origin. Choose the correct answer below. O A. OB. OD. 1 5 1 -5 1 5 1 -5 5 - 5 Find a vector b in R such that the solution set of Ax = b is not a line in R parallel to the solution set of Ax = 0.

Construct a nonzero 2x2 matrix A such that the solution set of the equation Ax = 0 is the line in R through (5,1) and the origin. Then, find a vector b in R such that the solution set of Ax = b is not a line R parallel to the solution set of Ax= 0. Why does this not contradict the theorem that states that if the equation Ax = b is consistent for some given b and p is a solution, then the solution set of Ax = b is the s of all vectors of the form w= p+ v,, where v, is any solution of the homogeneous equation Ax = 0? %3D ... Construct a nonzero 2 x2 matrix A such that the solution set of the equation Ax = 0 is the line in R through (5,1) and the origin. Choose the correct answer below. O A. OB. OD. 1 5 1 -5 1 5 1 -5 5 - 5 Find a vector b in R such that the solution set of Ax = b is not a line in R parallel to the solution set of Ax = 0.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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