Let A = 3 1 1 -2 5 0 1 0 5 2 0 2 2 1 1 -2 -2 -4 -2 -2] Find the nullspace(A). Then answer the following questions: Include the following in your initial post: 1. What is the vector space that the nullspace is a subspace of? 2. What is the geometric description of the nullspace? 3. If we let A be a coefficient matrix, how many solutions are there to the homogeneous system of equations? 4. What is the connection between the nullspace and the solution to the homogeneous system?

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