Pаrt C: Life Cycle Assessment - Mаtrix Fоrmulаtiоn [35 pоints] Using the linear algebra LCA framework from the lecture and mean parameter values, quantify the CO2 and water impact per battery for both the brine and hard-rock pathways. Use the following hints: Construct the functional demand vector. Construct two unit process matrices: p1 for lithium carbonate production and p2 for energy production. Order the rows in the unit process matrices as follows: lithium carbonate [kg per battery], energy [MJ per battery], carbon dioxide [kg CO2 per battery], and water [m3 per battery]. Construct the A and B matrices and determine the scaling matrix Determine the g matrix