Questions:
1. Solve the system of equations by the Gaussian elimination method.
x - 3y +z = 8
2x -5y - 3z = 2
2. Find the inverse of the given matrix.
[1 2]
[-2 -3]
3. Evaluate the determinant by expanding by cofactors.
[-2 3 2]
[1 2 -3]
[-4 -2 1]
4. Solve the system of equations by using Cramer's Rule.
2x+5y = 9
5x+7y = 8