MAT-2240 Midterm: MATH 2240 App State Spring2011 Test1
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/10 points) consider the following system of equations: 4x1 + 2x2 + 2x3 16x4 = 0. /10 points) consider the following system of equations: x1 + 2x2 2x3 x4 + 3x5 = /10 points) consider the following system of equations: x1 + 2x2 + x3 = Write down the associated augmented matrix and perform gauss-jordan elimination (or some variant). Then, using the row reduced echelon form, write the (new) associated system of equations. Finally, write the general solution in parametric form (label the free variables t, s, etc. ) or if the system has no solution, simply write inconsistent . /16 points) the linear correspondence. (a) consider the following matrices and supposed rrefs. If there is a problem with the rref, circle incorrect and at least one bad entry in the rref. (cid:20)1 2 1 2 1. 2 4 1 3 3(cid:21) rref g (cid:20)1 2 0 1 2. 1 (b) using the given rref, ll in the missing columns.
