[Math] Good true-false linear algebra questions

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Can you suggest me a collection of true-false linear algebra questions, like the ones found in the MIT exams, if possible with solutions (i.e. explanations)?

Sorry if it turns out that my request is off-topic, but if it is, please suggest where to ask it properly

Best Answer

A question I am fond of asking my students: Does the vector space of polynomials of degree $\leq n$ have a basis consisting of polynomials with same degree?

Answer: yes.

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