Quiz 3 Name: 20 points Math 2890 Class time: 12:00 pm -12:50 pm M-R Score: Section: 041 Instructions: Print the quiz to turn in. Show every row operation used to solve the system. Staple the two sheets together if not printed two sided. If necessary show work on back or staple an additional sheet. Due Monday June 3rd 1. ?? = ???? 1 -2 3 -6 5 0 0 0 0 1 4 -6 0 0 0 0 0 1 0 0 0 0 0 0???? (a) ( 8 points ) Describe all the solutions of the matrix equation ??x = 0 in parametric vector form. (b) ( 5 points ) If ?? = ???????? 1200 -31???????? is a solution to ??x = b for some vector b. Describe the solution set to ??x = b.
2 2. ( 7 points ) Use linear algebra to balance the chemical equation H3O+CaCO3 ? H2O+Ca+CO2