Question: 3. (25 points) Let 21 = 02 , 23 = 0 (a) (10 points) Construct a 3 by 5 matrix R so that 0,

3. (25 points) Let 21 = 02 , 23 = 0 (a) (10 points) Construct a 3 by 5 matrix R so that 0, 02, and v3 are the special solutions of R.x = 0. (b) (5 points) What is the rank of R? Explain your answer. (c) (5 points) How many free variables are there? Explain your answer. (d) (5 points) Find the column space C(R). Explain your answer.

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