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Problem. Let A be a matrix for the transformation that turns the letter F to the horizontal line as depicted with the images below. (a) (3 points). Specify a matrix A. Use the scale provided in the images, and explain your method. (b) (3 points). Discuss the importance of the the concept of linear independence and/ or basis in the method that you used in part (a). (c) (3 points). Are the columns of the matrix A linearly dependent or independent? Justify your answer. ((1) (3 points). Determine if TA, the transformation using the matrix A, is linear. If so, specify the domain and codomain of the transformation. (e) (3 points). Determine if TA, the transformation using the matrix A, is onetoone and/ or onto. Justify your