taking ap exam please help?

Question

1.What is the value of the dterminant
3 6 8
2 4 0
3 6 8

2.Solve the following equation.
0 0 -1
3 x 0 = x^(2)
2 0 3

3. Use determinants to determine the # of solutions for each of the following systems.
(a) 3x - y = -6
2x = 3y + 2

(b) 3x - y =7
6x- 2y =10

Answer 1

The answer to 1 is 0.

Answer 2

1. The answer to the first question is 0, because the
determinant has 2 equal rows.

2. Expand by minors of the first column to get
2x=x²,
x²-2x=0
x = 0 or 2.
3. a) We have 3x - y = -6
..........................2x -3y = 2
The denominator determinant is
3 -1
2 -3
= -7

-7x = -6 -1
.......... 2 -3
x = -20/7
-7y = 3 -6
..........2 2
y = -18/7.

3. The denominator determinant is 0
but 7 -1
......10 -2
= -14+10 = -4
So the equations are inconsistent: No solution.

Answer 3

Have you looked in your textbook for the way to do these if not I am sure that typing determinants into google will give you enough references. A little more effort on your part would reward you with the satisfaction of doing these yourself.