Let A = 1-4-3 4 0 2 4 6 -4 D₁ and b = b₂ b3 Ax=b does have a solution. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which How can it be shown that the equation Ax=b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the matrix A to demonstrate that A has a pivot position in every row. OB. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. OC. Find a vector b for which the solution to Ax = b is the zero vector. D. Find a vector x for which Ax=b is the zero vector. O E. Row reduce the augmented matrix [ A b to demonstrate that [ A b] has a pivot position in every row. Describe the set of all b for which Ax=b does have a solution. 0= (Type an expression using b₁,b₂, and b3 as the variables and 1 as the coefficient of b3.)
Let A = 1-4-3 4 0 2 4 6 -4 D₁ and b = b₂ b3 Ax=b does have a solution. Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which How can it be shown that the equation Ax=b does not have a solution for all possible b? Choose the correct answer below. O A. Row reduce the matrix A to demonstrate that A has a pivot position in every row. OB. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. OC. Find a vector b for which the solution to Ax = b is the zero vector. D. Find a vector x for which Ax=b is the zero vector. O E. Row reduce the augmented matrix [ A b to demonstrate that [ A b] has a pivot position in every row. Describe the set of all b for which Ax=b does have a solution. 0= (Type an expression using b₁,b₂, and b3 as the variables and 1 as the coefficient of b3.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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