rove that the set of vectors (1, 2), (3, 4) is linearly independent and spanning in R2

Question

rove that the set of vectors (1, 2), (3, 4) is linearly independent and spanning in R2
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Solution 1

To prove that the set of vectors (1, 2), (3, 4) is linearly independent and spanning in R2, we need to follow these steps:

Step 1: Linear Independence We need to show that the only solution to the equation a*(1, 2) + b*(3, 4) = (0, 0) is a = 0 and b = 0.

This gives us the system of equations: 1a Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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