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i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = det (C') b. Show that: (CD)* = C*D* c. Show that: (CD)* = D'C*

i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = det (C') b. Show that: (CD)* = C*D* c. Show that: (CD)* = D'C*

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 11AEXP
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i 1 i 2i Given two matrices: C = -i 0 and D = -i -i -1 -2i i Show that: det (C*) = (det C)* = det (C') b. Show that: (CD)* = C*D* Show that: (CD)* = D'C*
Transcribed Image Text:i 1 i 2i Given two matrices: C = -i 0 and D = -i -i -1 -2i i Show that: det (C*) = (det C)* = det (C') b. Show that: (CD)* = C*D* Show that: (CD)* = D'C*
Show that (1 -4 8 1 B = 4 -7 -4 9. 18 4 1 is orthogonal.
Transcribed Image Text:Show that (1 -4 8 1 B = 4 -7 -4 9. 18 4 1 is orthogonal.
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