Solving Complex Number with FreeMat

In this activity, we will be practicing to solve complex number math problems by using the FreeMat solfware.

Some practice exercises:

let A = 3 + 4j
     B = 3 - 2j
     C = 2 <50˚

and compute D = (A+C)/B

D = 0.14+1.94j

 

 

let A = 2 + 2j

      B = -1 + 3j

      C = 2 + j

 

and compute D = (A*B)/C

        compute E = (A+B)*C

        find the magnitude and the phase angle for E.

        find the read component and the imaginary component for E.

 

D= -2.4 + 3.2j         E = -3 + 11j

phase angel = 105.26˚ , magnitude = 11.41

imaginary component = 11

real component = -3

 

Assignments:

 

let A1 = 3+ 2j

      A2 = -1+4j

      B = 2-2j

 

solve for C = (A1*B)/A2



 



hand calculation, C = -1.06 -2.24j

 

using FreeMat, C = -1.06 -2.24j

 

the magnitude and the phase angle for C

 

Solve for D = (A1+B)*A2

hand calculation

calculation with FreeMat, D = -5 +20j

 

Solving Matrix with complex numbers:

 

Matrix calculation with complex number has the same inputting method as real numbers



 

 

Conclusion:

     Why waste time on inefficient hand calculation when you can solve for complex numbers easily on freeMat? The result will be the same but FreeMat is so much faster.