Unformatted text preview: dc . Are they equal? (b) Given I = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ 1 1 , b = 3 4 ! " # $ % & , and x = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ 2 1 x x , compute Ib . Is Ib equal to b ? Again, compute Ix. Is Ix equal to x ? (c) Given E 1 = Î¥ Î¦ Î¤ Î¢ Î£ Î¡âˆ’ 1 2 1 , E 2 = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ âˆ’ 1 3 1 , E 3 = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ 4 1 1 , E 4 = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ 1 2 1 and A = Î¥ Î¦ Î¤ Î¢ Î£ Î¡ âˆ’ âˆ’ 2 3 4 2 , compute E 1 A , E 2 (E 1 A) , E 3 (E 2 E 1 A) , and E 4 (E 3 E 2 E 1 A) . Describe what is happening with rows as you multiply your matrices by E 1 , E 2 , E 3 , and E 4 , respectively. What do you notice is happening with the rows of resulting matrices (what are these matrices E 1 , E 2 ,â€¦., E 4 doing to the matrix they are multiplying from the left)?...
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 Fall '08
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