Question: Consider the system: x1 + x2 x3 + x4 = 0 x1 2x3 + x4 = 0 (a) Briey justify why this system must have

Consider the system:

x1 + x2 x3 + x4 = 0

x1 2x3 + x4 = 0

(a) Briey justify why this system must have a solution without performing any oper-

ations.

(b) Solve the system and express its solution as a linear combination of basic solutions.

Clearly identify such basic solutions.

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