Could you please provide a detailed handwritten answer for this question, as it would help me understand the topic better.

The following two equations represent straight lines in the plane R%: 6x-2y=3 5.1 -x+3y=2 -1 (a) Write the pair of equations in (5.1) as a single matrix-vector equation of the form x A[ } v, Y where A is a 2x2 matrix and V' is a 2x1 matrix (column vector). (b) By first finding the inverse of the matrix 4, solve the pair of equations in (5.1). What is the geometric interpretation of the solution? () Compute the matrix product CD, where -3 35 2 1. 2 3 c=8 -10 4 and D={0 0 2 0 1 0 2 3 1 (d) On the basis of your answer to part (c), write down a 3x3 matrix E such that 1 (CD)E=1,=|0 0 oS = O -0 O [4%] [9%] [5%] [2%]