Problem 5. Let H be the plane x + y + z = 0, let în be a unit normal vector to H, and let L be the line chrough the origin which is perpendicular to H. Define two 3 × 3 matrices, as follows: P = îî™ Q = I3 – P a. If i is an arbitrary 3D vector, show that Pi is parallel to L, Qã is parallel to H, and * = Pa + Qã.
Problem 5. Let H be the plane x + y + z = 0, let în be a unit normal vector to H, and let L be the line chrough the origin which is perpendicular to H. Define two 3 × 3 matrices, as follows: P = îî™ Q = I3 – P a. If i is an arbitrary 3D vector, show that Pi is parallel to L, Qã is parallel to H, and * = Pa + Qã.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 10AEXP
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parts a ) - d). For d) can you just compute the matrix F? I can prove that they're orthogonal. Please. I need help.
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