Use cramer's rule to determine the values of I_1, I_2, I_3 and I_4 begin{bmatrix}13.7 & -4.7 & -2.2 &0 -4.7 & 15.4 & 0 &-8.2 -2.2 & 0 & 25.4 &-22 0 & -8.2 & -22 &31.3 end{bmatrix}begin{bmatrix}I_1 I_2 I_3 I_4 end{bmatrix}=begin{bmatrix}6 -6 5 -9 end{bmatrix}

floymdiT 2021-03-11 Answered
Use cramer's rule to determine the values of I1,I2,I3 and I4
[13.74.72.204.715.408.22.2025.42208.22231.3][I1I2I3I4]=[6659]
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Expert Answer

Benedict
Answered 2021-03-12 Author has 108 answers
Step 1
Given matrices:
A=[13.74.72.204.715.408.22.2025.42208.22231.3],B=[I1I2I3I4],C=[6659]
Multiplication of matrices A and B is possible only when number of columns of matrix A is equal to number of rows of matrix B.
Here order of matrix A is 4×4 and order of matrix B is 4×1 and hence the resultant matrix C has order 4×1
Step 2
Multiplication of matrices:
[13.74.72.204.715.408.22.2025.42208.22231.3][I1I2I3I4]=[6659]
[(13.7)I14.7I22.2I3+(0)I44.7I1+15.4I2+(0)I38.2I42.2I1+(0)I2+25.4I322I4(0)I18.2I222I3+31.3I4]=[6659]
From the above equation of matrix, four simultaneous equations obtained are:
13.7I14.7I22.2I3=6
4.7I1+15.4I28.2I4=6
2.2I1+25.4I322I4=5
8.2I222I3+31.3I4=9
Solve the above simultaneous equations to get values of unknown variables
I1=0.021
I2=0.908
I3=0.655
I4=0.986

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Jeffrey Jordon
Answered 2022-01-23 Author has 2495 answers

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