solve the polynomial Z^3+2*z^2-3z+2+3i
Question 1) Find I = z +2 3z - 2 + 3i 22 + (2i - 2)2 - 4i ] dz, C:\z| = 3, CW a. 4πί b. 8πί C. 2πί d. -2π(3 +i) e. 0.0 f. ο g. -4πί h. 6π
Find the complex numbers w and z which solve the system of equations (-1+i)w + (-2-3i)z = -12 - 3i (-2+3i)w +(-1+i)z = 0 +10i (Hint: Check your solution by substituting back in)
Solve 3x + 2y – z = 1x – 2y + z = 02x + y – 3z = -1
2. (a) Prove that K = (Z/3Z)[x]/(x3 + 2x + 1) is a field. (b) Find all the roots of the polynomial f(t) = + + 2t +1 in K.
#2. Solve the system of equations by any method. ( x + 2y + 3z + 4w = 5 J -5x - 4y + 3z + 2w = 1 1 x-y+z-w = 1 2x + y + 2z + w = 2 Answer: (x,y,z,w) =
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
Solve the system using Gaussian elimination or Gauss-Jordan elimination. -3x-3y-3z = 30 9x- 9y- 9z -90 -1.5x-1.5y-1.5z-15 Select one: a. (2, 2, 6)) Ob. {(x,y,z)1-3x-3y-3z = 30) Ос. { }
Solve the following linear systems of equations by Gaussian elimination. 3x+3z=0 2x+2y=2 3y+3z=3
- 2x+4y+ 3Z = -27 xtsy-z = -2 3xty-42=25 Use Gauss-Bordan to solve write answer in format (o (xy, z 1
2. Shade the region of the complex plane defined by <z +4 + 3i : 3 < 3 < 5,2 EC}. Include the appropriate axis labels and any significant points.
use 5 digits pls thx
2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve z"2-(1-31) -22+31 #0 z 3. (Complez Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find approximations of all seven roots of degree seven of the complex number and show them on the complex plane (approximations of the real and imaginary parts of all the roots must...