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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 and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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