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Unformatted text preview: (a) Let A be an m 1 matrix and let B be a 1 m matrix, where m 2 . Let C be the m m matrix, dened by C = AB. Show that C must be a singular matrix. (b) Let A be an m n matrix and let B be an n m matrix. Let C be the m m matrix, dened by C = AB. If n < m, can C be nonsingular ? Explain your answer carefully. 5. [Inverse of a Matrix] Let A be an n n matrix, which satises: a ij = 1 for all i,j { 1 ,...,n } with j i 0 otherwise Show that A has an inverse.[Do not use your computer to obtain the inverse matrix]. 1...
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 Fall '08
 MITRA

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