Consider the following system of linear equations:
-x1+2x2+x3=4
5x1-2x2+3x3=-28
2x1-x2+4x3=-23
Use Cramer’s rule to solve for x^2. (When working out determinants, indicate
with which row or column co-factor expansion is done.)
1
Expert's answer
2021-03-31T10:48:20-0400
The determinant of the coefficient omitting the constant,
∣∣−1522−2−1134∣∣
Using the row 1 co-factor expansion
D0=−1∣∣−2−1−34∣∣−2∣∣5234∣∣+1∣∣52−2−1∣∣D0=−1(−11)−2(14)+1(−3)D0=−20the determinant of the coefficient omitting,x2termD2=∣∣−152134−42823∣∣Row 1 expansionD2=−1∣∣332823∣∣−1∣∣542823∣∣−4∣∣5234∣∣D2=−1(−43)−1(3)−4(14)D2=−16x2=D0D2x2=−20−16x2=54
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