Question: 3 0 5. Consider the matrix A = 0 -1 0 5 A) What is the rank of A? Explain. B) Write down a basis

3 0 5. Consider the matrix A = 0 -1 0 5 A) What is the rank of A? Explain. B) Write down a basis for the row space. Make sure it is clear how you arrived at your answer. C) Write down a basis for the column space. Make sure it is clear how you arrived at your answer. D) Suppose A is the coefficient matrix for a homogeneous system. What is the dimension of the solution space? Explain

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