2. Let M = 0 1 1 1 1 1 0 4 1 2 1 4 0 1 2 1 1101 € M4,5. (a) Use row operations to reduce M to reduced row echelon form. (b) Find the row space of M. (c) Find a basis for the column space of M. (d) Find a basis for the solution space of M. (e) Verify that the rank-nullity theorem holds for M. Note: In parts (b)-(e), you should briefly explain your answers.

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