Answered: Problem 4. Suppose u = (1, –2, 6), v =… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 6AEXP

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Problem 4. Suppose u =
(1, –2, 6), v = (2, –5, -2) and w =
(а, 2, — 1).
(a) Show that u and v are orthogonal.
(b) Find the value of a for which w is orthogonal to v
(c) Find proj,u and proj„u.
(d) Find ||proj,u|| and ||proj,u||.

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