Let T:R? → R² be the linear transformation that changes the length of a vector to one-third of its original length, and reflects the vector across the y-axis. Find the standard matrix for T.
Let T:R? → R² be the linear transformation that changes the length of a vector to one-third of its original length, and reflects the vector across the y-axis. Find the standard matrix for T.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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![Let T:R? → R² be the linear transformation that changes the length of a
vector to one-third of its original length, and reflects the vector across the y-axis.
Find the standard matrix for T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6749b9d1-e43e-4075-9625-754311f2f030%2F3a0ebaae-9194-40be-a668-af79e23d0a65%2F56sfz34_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let T:R? → R² be the linear transformation that changes the length of a
vector to one-third of its original length, and reflects the vector across the y-axis.
Find the standard matrix for T.
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