Could someone please help me with this question? I have limited question credits, so if you're unsure about the answer, I kindly ask that you don't attempt it. I'm looking for a clear and confident written explanation, as the answer is crucial for my exam preparation.

Question 5 Figure 5.1 shows the plane, R?, with four puints, a, b, and d marked by crosses \"x\". 1.1 -1.0 = s e e senaranannanas d Figure 5.1 (a) Write the coordinates of each of these four points as a column vector of the form [I} . [3%] (b) By pre-multiplying the vectors you obtained in part (a) by the matrix [10%] - 0 1/2 w=1e 0 calculate the coordinates of the four transformed points, Ma, Mb, Mc and Md. Mark these transformed points on a sketch of the plane in your answer book. (You should fully label the axes in your sketch.) (i) What is the geometric interpretation of the transformation? [2%] () Find the determinant and inverse of the matrix M. [5%]