Consider the following System of equations:
3𝑥 + 2𝑦 + 𝑧 = 3
2𝑥 + 𝑦 + 𝑧 = 0
6𝑥 + 2𝑦 + 4𝑧 = 6
a. Apply Gaussian elimination method to reduce the system to triangular form.
b. What do you observe from your answer in part (a) above?
a.
Augmented matrix is
"R_1=R_1\/3"
"R_2=R_2-2R_1"
"R_3=R_3-6R_1"
"R_2=-3R_2"
"R_1=R_1-2R_2\/3"
"R_3=R_3+2R_2"
"R_3=R_3\/12"
"R_1=R_1+3R_3"
"R_2=R_2-6R_3"
b. The system is inconsistent. The given system has no solution.
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