Three hundred and sixty-eight (368) students of a school are registered to do ECON1003. The ethnicity of the registered students is Black, East Indian and Latino. If there are four times as many East Indian students as there are twice as many Black students plus Latino students and thrice as many East Indian students as there are four hundred and ninety one students minus twice as many Latino students. 1. State three variables to represent the events presented in the above information. 2. Write three linear equations to represent the above information. 3. Using your answer from part b. above, write the linear equations in matrix form. 4. Using your answer from part c. above, use a suitable method of your choice to determine the ethnic group with the highest number of students registered to do ECON1003.