Linear Algebra Question: Suppose x1, x2, x3 are 3-tuples in R^3 satisfying the following: a. x1 is orthogonal x2. b. x2 is orthogonal to x3. Must it be the case that x1 is orthogonal x3? If so, prove the claim. If not, explain why, and give a counterexample.

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A: The solution is mentioned below.

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A: Note: Since you have posted multiple questions. We will solve the first question for you. To get the…

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Q: How many solutions does Ax = [1]   have?

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