Consider the linear system of equations AX = 0 given by 2 0 3 -1 1...

 

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Consider the linear system of equations AX = 0 given by 2 0 3 -1 1 0 2 1-2-3 A = 1 -1 0 1 2 2 0 1 0 1 Answer the following items in a closed form. No complete solutions requiered. (a) Which of the following are solutions? u = (-2, -11, 10, 3, -6); v = (1,1,2,2,1); w = (-6,2,4,0,0). (b) Write down the row reduced echelon (cannonical) matrix to which A is row equivalent to. (c) Which is the rank of A? Which is the degree of freedom of the system? (d) Write down the general solution using the free parameters. (e) For each of the solutions of item (a), find the values of the free parameters according to (d). Consider the linear system of equations AX = 0 given by 2 0 3 -1 1 0 2 1-2-3 A = 1 -1 0 1 2 2 0 1 0 1 Answer the following items in a closed form. No complete solutions requiered. (a) Which of the following are solutions? u = (-2, -11, 10, 3, -6); v = (1,1,2,2,1); w = (-6,2,4,0,0). (b) Write down the row reduced echelon (cannonical) matrix to which A is row equivalent to. (c) Which is the rank of A? Which is the degree of freedom of the system? (d) Write down the general solution using the free parameters. (e) For each of the solutions of item (a), find the values of the free parameters according to (d).