Consider the following matrix. 1 k 2 -5 6 1 Assume that the matrix is the augmented matrix of a system of linear equations. (a) Determine the number of equations and the number of variables. equations variables (b) Find the value(s) of k such that the system is consistent. Ok = - 6 Ok = O all real k * - O all real k - 6 O all real k Assume that the matrix is the coefficient matrix of a homogeneous system of linear equations. (a) Determine the number of equations and the number of variables. equations variables

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