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

Chapter 7, Problem 5

(choose chapter or problem)

Let Eki be the elementary matrix formed by subtracting times the ith row of the identity matrix from the kth row. (a) Show that Eki = I ekeT i . (b) Let Eji = I ej eT i . Show that Eji Eki = I (ek + ej )eT i . (c) Show that E1 ki = I + ekeT i .

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