Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Question 2 Given the following matrix A, cos sin A sin cos 0 0 00 (a) Show that matrix A is invertible for all values of 0. (b) Using the result of (a), show that det(AT) = det(A). 1 (c) Using the result of (a), show that det (kA) = k³det(A), where k is a scalar.
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Transcribed Image Text:Question 2 Given the following matrix A, cos sin A sin cos 0 0 00 (a) Show that matrix A is invertible for all values of 0. (b) Using the result of (a), show that det(AT) = det(A). 1 (c) Using the result of (a), show that det (kA) = k³det(A), where k is a scalar.
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