Give a counterexample to show that the given transformation is not a linear transformation. xy [x]-[x] = x+y X #T © For example ([2]+[2])+[2][3] [² (¯1] + [:)* [ 1 ] + [1] -1 For example 7 T T 0 · ¹([:] + [3]) + ¹[:] + ¹[:] · 0 0 For example T For example T • ¹([:] + [:]) + ¹[:] + ¹[:]· # 0 0 -1 -1 1 · ¹([^¯2] + [ 2 ] * [ ²2 ] + [2] · #T T For example T
Give a counterexample to show that the given transformation is not a linear transformation. xy [x]-[x] = x+y X #T © For example ([2]+[2])+[2][3] [² (¯1] + [:)* [ 1 ] + [1] -1 For example 7 T T 0 · ¹([:] + [3]) + ¹[:] + ¹[:] · 0 0 For example T For example T • ¹([:] + [:]) + ¹[:] + ¹[:]· # 0 0 -1 -1 1 · ¹([^¯2] + [ 2 ] * [ ²2 ] + [2] · #T T For example T
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Give a counterexample to show that the given transformation is not a linear transformation.
+[x] - [,
=
2
2
2
2
² ¹([ ² ] + [²]) * ¹ [ ² + [²]·
T
2
2
2
For example
xy
x+y
-1
-1
() For example 7( [] []+[HE
+
T
1
1
For example
For example T
0
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· ¹([:] + [:]) * ·[:] + ¹[:]·
T
0
1
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· + ·[ ² ]·
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Transcribed Image Text:Give a counterexample to show that the given transformation is not a linear transformation.
+[x] - [,
=
2
2
2
2
² ¹([ ² ] + [²]) * ¹ [ ² + [²]·
T
2
2
2
For example
xy
x+y
-1
-1
() For example 7( [] []+[HE
+
T
1
1
For example
For example T
0
([:]+[ED-18]-[]
· ¹([:] + [:]) * ·[:] + ¹[:]·
T
0
1
0
-1
-1
O For example ([2] + [2] + [2]
· + ·[ ² ]·
#T
T
2
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