# Complex numbers Questions and Answers

Algebra

Complex numbers Solutions

3z
Consider the planes II₁: 2x - 4y -z = 3, II₂ : -3x + 6y +
= 6. Give a reason why the planes are parallel.
2
Also, find the distance between both planes.

Algebra

Complex numbers Solutions

Solve the following equation for z E C (and write z in the form x + jy): (z+j/z-j)3+(z-j/z+j)3 = 0

Algebra

Complex numbers Solutions

Perform the indicated operation : (-13-7i) + (-28 +24i) -41 +17i -41-17i 41-17i -41 - 18i

Algebra

Complex numbers Solutions

Z11²×13² how many quadratic non residues does this have? how many of those are units? and how many are not?

Algebra

Complex numbers Solutions

Using the matrix U = [u₁u₂u3], determine whether or not the columns of U span R³. Explain your approach.

Algebra

Complex numbers Solutions

Select all that are True. The Law of Sines works for most triangles but not for right triangles. The Law of Cosines works for most triangles but not for right triangles. The Law of Sines works for all

Algebra

Complex numbers Solutions

Financial Markets. The tock and bond markets are not the only financial markets. Give two or three additional examples.

Algebra

Complex numbers Solutions

.Find a general solution to y" - 2y + 1y =12.5elt/t² + 1 Use a and b for the constants of integration associated with the homogeneous solution. y =

Algebra

Complex numbers Solutions

Choose the correct statement. For any angle 8, we have sin (-θ)=sin θ . (So sine is an odd function.) For any angle 8, we have sin (-θ) = sin θ. (So sine is an even function.) Neither of the above