Prove that the set of vectors (1, 2), (3, 4) is linearly independent and spanning in R2
Question
Solution 1
Sure, let's go through this step by step.
Linear Independence: Two vectors are linearly independent if the only solution to the equation c1v1 + c2v2 = 0 is c1 = c2 = 0. Here, v1 = (1, 2) and v2 = (3, 4). So, we need to solve the following system of equations:
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