write a MatLab program using array and vector mathematics and manipulation to pe

Question

write a MatLab program using array and vector mathematics and manipulation
to perform the following actions:
1. Solve for the 3 unknown currents I1, I2, & I3
2. Using these 3 currents determine the average current Iavg
3. Using Iavg and 3 circuit equations determine the Req for each loop such that all 3 currents I1, I2, & I3 are
equal to Iavg

R = 11 3 0

3 6 1

0 -1 3

I = I1

I2

I3 (CURRENT)

V = 30

5

25

The 3 circuit equations are as follows:
11*I1 - 3*I2 = 30
-3*I1 +6*I2 - 1*I3 = 5
-1*I2 + 3*I3 = - 25

Explanation / Answer

>> r=[11 -3 0; -3 6 -1; 0 -1 3];
>> v=[30;5;-25];
>> i=inv(r)*v

i =

3.0000
1.0000
-8.0000

>> mean(i)

ans =

-1.3333

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