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Math 220 Spring 2023 Written Homework 4 Be sure to show all your work including each step of elimination and clearly indicate your final answer.

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Math 220 Spring 2023 Written Homework 4 Be sure to show all your work including each step of elimination and clearly indicate your final answer. 1. Find all values of h for which the vectors are linearly dependent. 2. The set the vectors can be written as a linear combination of the other two vectors. 3. Determine if the columns of each matrix below are linearly independent or linearly dependent. Justify your response. 2 (a) 1 (d) 2 -3 12 1 2 3 (b ) 3 1 2 (e) -1 12 3 2 4 0 ( c ) 0 (f ) 0 4. Suppose 7: IR' - R' is a linear transformation such that Find the image of |2| under T. 5. Suppose T : IR' - R' is a linear transformation such that ([2]) = [2] and T (13]) - Find T ([-3"])Math 220 Spring 2023 Written Homework 4 Be sure to show all your work including each step of elimination and clearly indicate your final answer. 1. (a) h =6 (b) any h 2. 2 13 4. -11 5. 12

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