Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. V₁ = (1, −1, 8, 3), V₂ = (2,−1, 5, 4), V3 = (1, 0, −3, 1) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.

Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. V₁ = (1, −1, 8, 3), V₂ = (2,−1, 5, 4), V3 = (1, 0, −3, 1) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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