Question 3 a) Find basic solutions of the homogeneous system with coefficient matrix: A = 1 -3 6 -2 3 -3 0110 Major Topic 1 -9-1 9 2206 2-5 ~Y~ 6-81 Major Topic 4 - VECTOR SPACES b) Express every solution in 3(a) as a linear combination of the basic solutions, Major Topic 4 - VECTOR SPACES XC8H18+y02zCO + WHO AN AN The following reaction equation represents the burning of octane C8H18 in oxygen 0: where CO2 represents carbon dioxide, c) Deduce the linear system from the reaction equation. Major Topic 1 - SYSTEMS OF LINEAR EQUATIONS d) From the system in 3c(i), determine the values of x, y, z and w that will balance the reaction equation 4 AP AP 4 5