Question: 1. (10 points] Given the matrix _111 1 A' 04 28 2 0 3 1 Find the following: a. A basis for the null space

1. (10 points] Given the matrix _111 1 A' 04 28 2 0 3 1 Find the following: a. A basis for the null space of A b. A basis for the column space of A c. A basis for the row space of A. (:1. Find the Rank and nullity of A . e. Find the Rank and nullity of AT b=lEil 1 21 4 7 7. 11 5 2. (2 points) Determine whether is in the column space of A: If yes, write I) as a linear combination of the column vectors of A. 3. (8 points) Plot the rst letter of you rst name in the xy plane. Label the vertices of at least 4 points on your letter. Apply any three transformations from Tables 1, 5, 7, 9, 10 to create a "fancy\" version of your letter. Do NOT use more than one transformation from each table. Show all of the matrix multiplication that takes each point on the original letter to its location on the "fancy\" letter

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