Math 436.  September 25, 2002. Midterm 1.   Name__________________________________
5 problems, 10 pts each.

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.
 

Solutions.

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