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SOLVE FOR THE CURRENT VALUE OF X , Y, Z. You may wish to verify in your electronic lab kit the actual current flowing in each loop.
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X +
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Y +
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Z +
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W =
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X +
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Y +
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Z +
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W =
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X +
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Y +
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Z +
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W =
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X +
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Y +
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Z +
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W =
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Answer, X = detX =
Answer, Y = detY =
Answer, Z = detZ =
Answer, W = detW =
determinant 4 x 4 =
Validate your answer by substituting the value of X, Y, and Z in original equations.
PRACTICE SIMULATION: if you are troubleshooting the same circuit. Then you can update new values and check the expected values. if your actual test reading does not match the expected values then one of the components is defective.
| 4X value change to 7 ohms | |
| 2Y value change to 20 ohms | |
| 3Z value change to 6 ohms | |
| 2Z value change to 8 ohms | |
| V8 value change to 10 volts | |
| V9 value UNCHANGE |
Reviewer on how to compute for determinant value of 4 x 4 Matrix.
Acquiring knowledge and skill on how to solve for determinant of 4 x 4 matrix is important in solving any four simultaneous linear equation. In the above example, determinant X ( detX), detY, detZ, and detW were computed. Then following Cramer's Rule, the solution for value of X, Y , Z, and W can be calculated. Doing this calculation by hand is very time consuming but thanks to computer and internet advancement, it is now possible to solve this problem in less than a minute using your smartphone. Now our brain can be used for higher level of thinking such as scenario analyis and decision making.