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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = 1 -7 -25 -3 12 39 and b = -4 3 Find a single vector x whose image under T is b. 3 -A X = 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.
Transcribed Image Text: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 = 1 -7 -25 -3 12 39 and b = -4 3 Find a single vector x whose image under T is b. 3 -A X = 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.
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