The vectors U1 - (0, 4, 2), из — (1, — 1, 2), из — (5, 1, – 2) form an orthogonal basis of R°. So that any vector v E R° can be expressed in a unique way as a linear combination V = a1U1 + A2U2 + az U3, where a1, a2, a3 E R are coordinates of U with respect to the basis {u1, U2, Uz }. (-1, 0, 1). Find the coordinate a2 for V

The vectors U1 - (0, 4, 2), из — (1, — 1, 2), из — (5, 1, – 2) form an orthogonal basis of R°. So that any vector v E R° can be expressed in a unique way as a linear combination V = a1U1 + A2U2 + az U3, where a1, a2, a3 E R are coordinates of U with respect to the basis {u1, U2, Uz }. (-1, 0, 1). Find the coordinate a2 for V

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 34EQ

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