If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is unique. Let 1 -7 -25 -4 A= [3] -3 12 39 and b = Find a single vector x whose image under T is b. 3 -1 x= 1 0 Is the vector x found in the previous step unique? O A. No, because there are no free variables in the system of equations. O B. No, because there is a free variable in the system of equations. O C. Yes, because there is a free variable in the system of equations. O D. Yes, because there are no free variables in the system of equations.

If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is unique. Let 1 -7 -25 -4 A= [3] -3 12 39 and b = Find a single vector x whose image under T is b. 3 -1 x= 1 0 Is the vector x found in the previous step unique? O A. No, because there are no free variables in the system of equations. O B. No, because there is a free variable in the system of equations. O C. Yes, because there is a free variable in the system of equations. O D. Yes, because there are no free variables in the system of equations.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 30EQ

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