Answered: Consider the following. T is the… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 17CM

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Question

Consider the following.
Tis the projection onto the vector w = (3, 1) in R²: T(v) = projwv, v = (3, 5).
(a) Find the standard matrix A for the linear transformation T.
A =
↓ ↑
C
(b) Use A to find the image of the vector v.
T(v) =
(c) Sketch the graph of v and its image.

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