8. Consider the following system of equations over Zg r+ to y+2 2r + y+ 2: + : + 2u * + 2y + Working over Z, how many distinct solutions are there for (r. y.2, u)? (n) exactly nine (d) no solution (b)...

Extracted text: 8. Consider the following system of equations over Zg r+ to y+2 2r + y+ 2: + : + 2u * + 2y + Working over Z, how many distinct solutions are there for (r. y.2, u)? (n) exactly nine (d) no solution (b) exactly three (e) infinitely many (c) exactly one 9. Consider the real matrix 3 9 M = 37 iand elementary matrices 1 3 %3D 01 Use the chain of equivalences above to find a correct expression for M as a product of these elementary matrices. (1s) M = EE,E, E (d) M- E,E E,E, (b) M = E,E,E,E (c) M = E,E,E,E (e) M = E,E, E,E