Elementary Linear algebra
Chapter 1.2
Exercise 3
By allotting the arbitrary value s for free variable x4, the general solution is given by the formulas
x1=13s−10, x2=13s−5, x3=2−s, x4=s.
Substituting x3=−4−3x5 into the second equation yields
x1x3x4=−11−7x2+2x5=−4−3x5=9−3x5
By allotting the arbitrary values s for free variable x5 and t for variable x2, the general solution is given by the formulas
x1=−11−7t+2s, x2=t, x3=−4−3s, x4=9−3s, x5=s.
Answer
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