380_HW1_Lim

115 days ago by ekalim

# Solve equation (2-i)z + (3+2i) = 4+5i z = ((4+5*I)-(3+2*I))/(2-1*I);z 
       
7/5*I - 1/5
7/5*I - 1/5
# We can check our answer bool((2-1*I)*z+(3+2*I)==(4+5*I)) # operator "bool" required to force true/false evaluation 
       
True
True
# Sage will solve the equation too z=var("z"); solve((2-1*I)*z+(3+2*I)==(4+5*I),z) 
       
[z == (7/5*I - 1/5)]
[z == (7/5*I - 1/5)]
# Solve equation (-1+2i)z - (1-3i) = 2-i z = ((2-I)+(1-3*I))/(-1+2*I);z 
       
-2/5*I - 11/5
-2/5*I - 11/5
# We can check our answer bool((-1+2*I)*z-(1-3*I)==(2-1*I)) # operator "bool" required to force true/false evaluation 
       
True
True
# Sage will solve the equation too z=var("z"); solve((-1+2*I)*z-(1-3*I)==(2-1*I),z) 
       
[z == (-2/5*I - 11/5)]
[z == (-2/5*I - 11/5)]