Matrices as Linear Maps: A shear transformation is a linear map that displaces each point in a fixed direction (the s shear axis) by an amount proportional to the distance between the point and the axis (a favorite example/pun with a horizontal shear axis is illustrated to the right). Consider the vertical shear transformation E shown acting on a rectangle below, V Rectangle E (e) [8 points] the vector V Sheared Rectangle sheep sheared sheep Write down the matrix representation of E (that is, the matrix that acts on write one (+) and returns the sheared vector). Make sure to explain your work. What does this 3 -2 transformation do to the vector = ? Add a sketch showing the original vector and the sheared vector. [Hint: We can consider the rectangle shown as the rectangle formed by two vectors making up the left and bottom sides.]