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Obtain an expression for a transformation matrix that will stretch a 3-D vector in x. Repeat for y. z and for a matrix that will scale the length of a vector without changing its direction. Show whether or not these transformations are linear and whether or not they' re orthogonal.

Obtain an expression for a transformation matrix that will stretch a 3-D vector in x. Repeat for y. z and for a matrix that will scale the length of a vector without changing its direction. Show whether or not these transformations are linear and whether or not they' re orthogonal.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 16RQ
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Obtain an expression for a transformation matrix that will stretch a 3-D vector in x. Repeat for y, z and for a matrix that will scale the length of a vector without changing its direction. Show whether or not these transformations are linear and whether or not they' re orthogonal.
Transcribed Image Text:Obtain an expression for a transformation matrix that will stretch a 3-D vector in x. Repeat for y, z and for a matrix that will scale the length of a vector without changing its direction. Show whether or not these transformations are linear and whether or not they' re orthogonal.
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