MATH 551 Midterm: MATH 551 KSU Test1Sample2 f06

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In each of the following cases we are dealing with a system ax = b. Each case has a di erent coe cient matrix a and a di erent right hand side vector b. Also, in each case we are told what rref([a b]) is. Now, in each case determine the following: size of the matrix a (number of rows and number of columns, an expression for the solution(s) to the system (if the system has no solutions, point that out). In the case of having in nitely many solutions, also indicate the number of free variables. For what values of r is the matrix. If r = 2006, how many solutions to bx = 1. In this problem a, b and c are matrices. My aunt lila"s house is infested with ants. My friend rainman and i visit my aunt daily because she makes a really good stew.

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