Linear Algebra Radiography and Tomography a. Choose any two objects that produce the same radiograph and subtract them. What is special about the resulting object? b. Show that the set of all invisible objects is a subspace of the vector space of all objects. c. Find a set of objects that spans the space of all invisible objects. Is your set linearly independent? If not, find a linearly independent set of objects that spans the space of invisible objects. The linearly independent set you have found is a basis for the space of invisible objects.
Linear Algebra Radiography and Tomography a. Choose any two objects that produce the same radiograph and subtract them. What is special about the resulting object? b. Show that the set of all invisible objects is a subspace of the vector space of all objects. c. Find a set of objects that spans the space of all invisible objects. Is your set linearly independent? If not, find a linearly independent set of objects that spans the space of invisible objects. The linearly independent set you have found is a basis for the space of invisible objects.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 28E
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a. Choose any two objects that produce the same radiograph and subtract them. What is special about the resulting object?
b. Show that the set of all invisible objects is a subspace of the
c. Find a set of objects that spans the space of all invisible objects. Is your set linearly independent? If not, find a linearly independent set of objects that spans the space of invisible objects. The linearly independent set you have found is a basis for the space of invisible objects.
![X1
X2
X3
X4
b₁ b₂
64
b3
The transformation matrix for this map is T =
• Height and width of image in voxels: n = 2
(Total voxels N
= 4)
• Pixels per view in radiograph: m = 2
ScaleFac=1
Number of views: a = 2
• Angle of the views: 0₁ = 0°, 02 = 90°
1 1 00
00
1
0 1 0
1 0
=
1 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc495729c-fc87-4b7b-a937-12ad0926c14e%2F1e261b1c-319b-466f-9bc6-fbff33d8c5c5%2Fxdz7nxb_processed.png&w=3840&q=75)
Transcribed Image Text:X1
X2
X3
X4
b₁ b₂
64
b3
The transformation matrix for this map is T =
• Height and width of image in voxels: n = 2
(Total voxels N
= 4)
• Pixels per view in radiograph: m = 2
ScaleFac=1
Number of views: a = 2
• Angle of the views: 0₁ = 0°, 02 = 90°
1 1 00
00
1
0 1 0
1 0
=
1 0
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