Repeated values of a linear transformation Let T : R' → R° be a linear transformation given by T (v) = Av where A is the following matrix: 1 -1 1 -2 -2 -1 -1 -3 -2 2 A = 2. Find vectors w, w', z, z' which satisfy the following conditions: • w + w' but T (w) = T (w') • z +z' but T (z) =T(z') %3D T(w) # T (z)
Repeated values of a linear transformation Let T : R' → R° be a linear transformation given by T (v) = Av where A is the following matrix: 1 -1 1 -2 -2 -1 -1 -3 -2 2 A = 2. Find vectors w, w', z, z' which satisfy the following conditions: • w + w' but T (w) = T (w') • z +z' but T (z) =T(z') %3D T(w) # T (z)
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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![1. Repeated values of a linear transformation
Repeated values of a linear transformation
Let T : R* → R³ be a linear transformation given by T (v) = Av where A is the following matrix:
--2
-1
2
A =
1
-2
-2
-1
-1
-3
2
Find vectors w, w', z, z' which satisfy the following conditions:
• w + w' but T (w) = T (w')
• z +z' 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, , w½ , wa , w¼]:
Enter the vector z in the form [z, , z2 , Z3 , z4]:
Enter the vector z' in the form [z , z½ , z3 , z4]:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9397b2c2-86a3-4ac0-9cf7-e95e7caa4a10%2Fd4ee43ad-67ec-424a-9466-c972c1368b79%2Fjpdhx1t_processed.png&w=3840&q=75)
Transcribed Image Text:1. Repeated values of a linear transformation
Repeated values of a linear transformation
Let T : R* → R³ be a linear transformation given by T (v) = Av where A is the following matrix:
--2
-1
2
A =
1
-2
-2
-1
-1
-3
2
Find vectors w, w', z, z' which satisfy the following conditions:
• w + w' but T (w) = T (w')
• z +z' 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, , w½ , wa , w¼]:
Enter the vector z in the form [z, , z2 , Z3 , z4]:
Enter the vector z' in the form [z , z½ , z3 , z4]:
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