1 - 4 2 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= 0 1 -3 and 5 - 21 10 - 5 b= - 18 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. O B. No, because there are no free variables in the system of equations. O C. No, because there is a free variable in the system of equations. O D. Yes, because there is a free variable in the system of equations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 = (see pic) and b = (see pic)

1
- 4
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
- 3
and
- 21
10
- 5
b =
- 18
- 4
Find a single vector x whose image under T is b.
X =
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. No, because there are no free variables in the system of equations.
Oc. No, because there is a free variable in the system of equations.
O D. Yes, because there is a free variable in the system of equations.
LO
Transcribed Image Text:1 - 4 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 - 3 and - 21 10 - 5 b = - 18 - 4 Find a single vector x whose image under T is b. X = 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. No, because there are no free variables in the system of equations. Oc. No, because there is a free variable in the system of equations. O D. Yes, because there is a free variable in the system of equations. LO
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