Question: 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

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

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