1 -6 - 16 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 A = - 2 and b = 14 6 Find a single vector x whose image under T is b. %3D Is the vector x found in the previous step unique? O A. Yes, because there are no free variables in the system of equations. O B. Yes, because there is a free variable in the system of equations. OC. No, because there is a free variable in the system of equations. O D. No, 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
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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- 16
and b =
14
1 -6
- 3
-
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 A =
- 2
Find a single vector x whose image under T is b.
Is the vector x found in the previous step unique?
O A. Yes, because there are no free variables in the system of equations.
B. Yes, because there is a free variable in the system of equations.
C. No, because there is a free variable in the system of equations.
D. No, because there are no free variables in the system of equations.
Transcribed Image Text:- 16 and b = 14 1 -6 - 3 - 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 A = - 2 Find a single vector x whose image under T is b. Is the vector x found in the previous step unique? O A. Yes, because there are no free variables in the system of equations. B. Yes, because there is a free variable in the system of equations. C. No, because there is a free variable in the system of equations. D. No, because there are no free variables in the system of equations.
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