3 2 0 3. Compute the product 0 01-1 0 013 4. If the matrix A…

3 2 0 3. Compute the product 0 01-1 0 013 4. If the matrix A from the previous problem represents a linear transformation T, determine: (a.) Is the mapping onto (b.) Is the mapping one to one (c.) Is the mapping homomorphic (d.) Is the mapping isomorphic (e.) What is the range space? The rank? (f) What is the null space? The nullity? (g.) Does this transformation preserve magnitude? 5. (a.) What is AT, the transpose of the matrix from the problem 3:? (b.) What is the result of multiplying A times the same vector from problem 3 if possible. If not possible, explain why.