Consider a transformation that accepts a 5-dimensional vector as an input and produces a 3 dimensional vector as a result. Assuming the transformation is linear: 1. Write the transformation as an input/output relationship (i.e., write the function definition). 2. Provide the matrix operation that describes the transformation, highlighting the size of each vector and matrix. 3. Provide an example for the matrix A that describes the linear transformation. You can show this either with a numerical example, or through a general form without numbers