The electrical currents flowing in the antennas, during an MR imaging

osi4a2nxk 2021-11-15 Answered
The electrical currents flowing in the antennas, during an MR imaging scan are given by:
3i3+3i15i2=7.5
i27i3+2i1=17.5
10i1+4i2+5i3=16
1. Write the above system of equations in the form Ax=b, where A is a 3 by 3 matrix and x and b are 3 by 1 vectors.
2. Find the determinant of A.
3. Determine i1, i2 and i3 by using Gaussian elimination.
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Expert Answer

Novembruuo
Answered 2021-11-16 Author has 26 answers

Step 1
[3532171045][i1i2i3]=[7.517.516]
above solution is form if
Ax=b
where
A=[3532171045]
x=[i1i2i3] & b=[7.517.516]
Step 2
Determinant of A
D[3532171045]
D(A)=3(5(28))(5)(1070)
+3(8(10))
=3(33)+5(60)+3(18)
=99300+54
=153300
D(A)=147
Step 3
Now we have to calculate and find i1, i2, i3 using gaussian elimination
Solve it using gaussian elimination
[3537.521717.5104516]
R13R1
[15312.521717.5104516]
R22R1R2
R3+10R1R3
[15312.50133922.503831541]
R1133R2
R1+53R2R1
R3+383R2R3

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