Q1. (a) Three similar reagents were used in different concentrations C1, C2, and C3 in three chemical reactions to produce the amount of product provided in Table Q1. Table Q1. List of Material Concentration and Amount of Product in Each Reaction Concentration (g/mL) Reaction Amount of product C1 C2 C3 (g) 1 15 8 10 55 2 13 20 7 64 3 25 35 24 135 (i) Determine the unknown concentrations C1, C2, and C3 using Cramer's rule (ii) and validate your answer. (12 marks) If the products of Reaction 2 and 3 were increased by 20% each, how would this affect C2? (b) Explain TWO applications of eigenvalues and eigenvectors. (4 marks) (4 marks)