Let Eki be the elementary matrix formed by subtracting a times the ith row of the identity

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Let Eki be the elementary matrix formed by subtracting a times the ith row of the identity matrix from the kth row.
(a) Show that Eki = 1 - aekeTi.
(b) Let Eji = I - βejeTi. Show that EjiEki = I - (αek + βej)eTi.
(c) Show that E-1ki = I + αekeTi

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 01:08 AM

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Let Eki be the elementary matrix formed by subtracting a times the ith row of the identity

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a The matrix e k e T i will have a 1 in the k i position and 0s in all other positions ...View the full answer

Linear Algebra with Applications

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