Let T: R4 → R³ be a linear transformation given by T (v) = Av where A is the following matrix: -2 -1 -1 Find vectors w, w', z, z' which satisfy the following conditions: .ww but T (w) = T (w') zz' but T (z) = T (z') • T(w)T(z) Enter the vector w in the form [W1, W2, W3, W4]: Enter the vector w' in the form [w, w₂, w, w4]: Enter the vector z in the form [Z1, Z2, Z3, Z4]: Enter the vector z' in the form [z, z, z, z]: 0 A = 1 0 -1 1 -1 -1 -2 Find vectors w, w', z, z' which satisfy the following conditions: • ww' but T (w) = T (w') . zz' but T (z) = T (z') T (w)T(z) Enter the vector w in the form [W1, W2, W3, W4]: Enter the vector w' in the form [w₁, w₂, W. W]: Enter the vector z in the form [Z1, Z2, Z3, Z4]: Enter the vector z' in the form [Z1, Z2, Z3, Z4]:
Let T: R4 → R³ be a linear transformation given by T (v) = Av where A is the following matrix: -2 -1 -1 Find vectors w, w', z, z' which satisfy the following conditions: .ww but T (w) = T (w') zz' but T (z) = T (z') • T(w)T(z) Enter the vector w in the form [W1, W2, W3, W4]: Enter the vector w' in the form [w, w₂, w, w4]: Enter the vector z in the form [Z1, Z2, Z3, Z4]: Enter the vector z' in the form [z, z, z, z]: 0 A = 1 0 -1 1 -1 -1 -2 Find vectors w, w', z, z' which satisfy the following conditions: • ww' but T (w) = T (w') . zz' but T (z) = T (z') T (w)T(z) Enter the vector w in the form [W1, W2, W3, W4]: Enter the vector w' in the form [w₁, w₂, W. W]: Enter the vector z in the form [Z1, Z2, Z3, Z4]: Enter the vector z' in the form [Z1, Z2, Z3, Z4]:
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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Answer this problem correctly
![Let T: R4 → R³ be a linear transformation given by T (v) = Av where A is the following matrix:
-2 -1 -1
Find vectors w, w', z, z' which satisfy the following conditions:
.ww but T (w) = T (w')
zz' but T (z) = T (z')
• T(w)T(z)
Enter the vector w in the form [W1, W2, W3, W4]:
Enter the vector w' in the form [w, w₂, w, w4]:
Enter the vector z in the form [Z1, Z2, Z3, Z4]:
Enter the vector z' in the form [z, z, z, z]:
0
A =
1 0 -1
1
-1 -1 -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2F403b582b-1117-41d8-81e8-71482b968a8c%2F6ao5wkb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T: R4 → R³ be a linear transformation given by T (v) = Av where A is the following matrix:
-2 -1 -1
Find vectors w, w', z, z' which satisfy the following conditions:
.ww but T (w) = T (w')
zz' but T (z) = T (z')
• T(w)T(z)
Enter the vector w in the form [W1, W2, W3, W4]:
Enter the vector w' in the form [w, w₂, w, w4]:
Enter the vector z in the form [Z1, Z2, Z3, Z4]:
Enter the vector z' in the form [z, z, z, z]:
0
A =
1 0 -1
1
-1 -1 -2
![Find vectors w, w', z, z' which satisfy the following conditions:
•
ww' but T (w) = T (w')
. zz' but T (z) = T (z')
T (w)T(z)
Enter the vector w in the form [W1, W2, W3, W4]:
Enter the vector w' in the form [w₁, w₂, W. W]:
Enter the vector z in the form [Z1, Z2, Z3, Z4]:
Enter the vector z' in the form [Z1, Z2, Z3, Z4]:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2F403b582b-1117-41d8-81e8-71482b968a8c%2F0ffptqi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find vectors w, w', z, z' which satisfy the following conditions:
•
ww' but T (w) = T (w')
. zz' but T (z) = T (z')
T (w)T(z)
Enter the vector w in the form [W1, W2, W3, W4]:
Enter the vector w' in the form [w₁, w₂, W. W]:
Enter the vector z in the form [Z1, Z2, Z3, Z4]:
Enter the vector z' in the form [Z1, Z2, Z3, Z4]:
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