(a) Let B= {b1, b2}, where b1 =()-()and b2 =Is B an orthogonal basis for R2O TrueO False(b) Consider the line y = 3 z in R2.Suppose that the linear map T: R2 → R² is the projection on the line y = 3 x.That means T(v) is the projection of v e R2 on a non-zero vector parallel to the line.Find T(b1) and T(b2). Enter your answers, in Maple syntax, in the box below.T(b1) =T(b2) =aNote: The vector,in Maple syntax, should be entered as The vector va, in Maple syntax, should be entered as sqrt (a)(c) Find the matrix of T with respect to Band enter your answer in the equation editor box below.sin (a)(d) Find the matrix of T with respect to the standard basis for R2 and enter your answer in the equation editor boxbelow.sin (a)pls help

Answered: Image /qna-images/answer/6fcaff2d-1530-458b-94f0-6b8d2a9db268.jpg

(a) Let B= {b1, b2}, where bị =(:) and by = G) Is B an orthogonal basis for R2 ? O True O False (b) Consider the line y = 3 z in R2. Suppose that the linear map T: R² → R2 is the projection on the line y = 3 x. That means T(v) is the projection of v ER- on a non-zero vector parallel to the line. Find T(b1) and T(b2). Enter your answers, in Maple syntax, in the box below. T(b1) = T(b2) = (€) a Note: The vector b in Maple syntax, should be entered as The vector vā, in Maple syntax, should be entered as sqrt(a) (c) Find the matrix of T with respect to Band enter your answer in the equation editor box below. sin (a) (d) Find the matrix of T with respect to the standard basis for R and enter your answer in the equation editor box below. sin (a) pls help

(a) Let B= {b1, b2}, where bị =(:) and by = G) Is B an orthogonal basis for R2 ? O True O False (b) Consider the line y = 3 z in R2. Suppose that the linear map T: R² → R2 is the projection on the line y = 3 x. That means T(v) is the projection of v ER- on a non-zero vector parallel to the line. Find T(b1) and T(b2). Enter your answers, in Maple syntax, in the box below. T(b1) = T(b2) = (€) a Note: The vector b in Maple syntax, should be entered as The vector vā, in Maple syntax, should be entered as sqrt(a) (c) Find the matrix of T with respect to Band enter your answer in the equation editor box below. sin (a) (d) Find the matrix of T with respect to the standard basis for R and enter your answer in the equation editor box below. sin (a) pls help

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 24EQ

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