Evaluate the following sums
-

-
n4
- Find the cube roots of the number 1 + i.
- Compute the determinant of the matrix


.
- Solve the equation


X = 

.
- Find a basis for the nullspace of


.
- Solve the system of equations
x + 2y + 3z = 1 |
2x + 4y + 5z = 1 |
3x + 5x + 6z = 1 |
.
- Use Newton's method to find a solution to the equation
sin x - x3 = 0 for x > 0.