(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

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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Question

(a) Let B= {b1, b2}, where b1 =()
-()
and b2 =
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 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) =
a
Note: The vector
,in Maple syntax, should be entered as <a,b,c>
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 box
below.
sin (a)
pls help

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