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  3. name student number problem 1 5 points consider the following...

Question: name student number problem 1 5 points consider the following...

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Name: Student Number: Problem 1 (5 points). Consider the following matrix: 0 4 8 0 4a 1 -5 -11 3 a+5 0 -2-4 1 3 2 9 20 5 2a +6, where a is a real number (a) Compute the rank of A for all a. (b) Suppose that A is the augmented matrix of a system of linear equations. For which values of a is this system consistent? For which values of a is the system inconsistent?

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