1. Solve for x,y
ax + y = 1, x + ay = a2
where a is a given number.
2. Solve the system
x1 + 2x2+ x3= 3, -x1+
3x2 + x4 = -2.
3. Find the rank of the matrix A=
1 2 3 4
5 6 7 8
9 10 11 12 .
4. Find a basis for the column space of A.
5. Find a basis for the row space of A.