Please show your full solution

3. Give an example of a transformation (function) whose domain equals R" and whose codomain equals R3. [6 points1. Determine whether each of the collections below is linearly dependent or linearly independent. Justify fully using any method such as the definition or our generalizations from class. 20 30 a. 10 5 [6 points] 10 0\f\f2. Give an example of a system of three linear equations in two unknowns (or the corresponding augmented matrix) whose intersection is a line. ) [6 points]