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(a) Compute P = QQT when q₁ P² = P. 91 = (.8, .6,0) and 92 = (-.6, .8,0). Verify that (b) Prove that always (QQT)² = QQT by using QTQ = I. Then P = QQT is the projection matrix onto the column space of Q.

(a) Compute P = QQT when q₁ P² = P. 91 = (.8, .6,0) and 92 = (-.6, .8,0). Verify that (b) Prove that always (QQT)² = QQT by using QTQ = I. Then P = QQT is the projection matrix onto the column space of Q.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
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(a) Compute P = QQT when q₁ P² = P. 91 = (.8, .6,0) and 92 = (-.6, .8,0). Verify that (b) Prove that always (QQT)² = QQT by using QTQ = I. Then P = QQT is the projection matrix onto the column space of Q.
Transcribed Image Text:(a) Compute P = QQT when q₁ P² = P. 91 = (.8, .6,0) and 92 = (-.6, .8,0). Verify that (b) Prove that always (QQT)² = QQT by using QTQ = I. Then P = QQT is the projection matrix onto the column space of Q.
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