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For each of the following linear systems, obtain a solution by graphical methods, if possible. Explain the results from a geometrical standpoint.
a. x1 + 2x2 = 0,
x1 − x2 = 0.
b. x1 + 2x2 = 3,
−2x1 − 4x2 = 6
c. 2x1 + x2 = −1,
x1 + x2 = 2,
x1 − 3x2 = 5.
d. 2x1 + x2 + x3 = 1,
2x1 + 4x2 − x3 = −1. |
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