223midterm20131sol - University of Toronto Department of...

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University of TorontoDepartment of MathematicsMAT223H1SLinear Algebra ISolutions to the Midterm Exam IFebruary 15, 2013M. Mota, F. Murnaghan, P. Samuelson, S. Rayan, S. UppalDuration: 1 hour 30 minutes1.Suppose that the given matrix is the coefficient matrix of a homogeneous system oflinear equations in the variablesx1, x2, x3, x4, x5, x6, x7already in reduced row echelonform.120030-10010-10-20001-20100000140000000[2](a)Which variables are leading variables?[2](b)How many parameters are required in the general solution?[6](c)Determine the general solution.Solution.
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