Can some help putting into canonical form?

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[University maths: Linear Algebra] is this question written correctly?

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What is this from? I’ve tried Google translate but I’m still confused.

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[uni maths: analysis] is my proof for q2 correct?
Need help with homework? We're here for you! The purpose of this subreddit is to help you learn (not complete your last-minute homework), and our rules are designed to reinforce this.[uni maths: analysis] is my proof correct? Question: a_n is a real, bounded but not convergent sequence. Prove that it has two convergent subsequences with different limits.

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Quick question for a total beginner
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How to get MAT scores?
!!!!!!USE THE DESIGNATED MEGATHREADS FOR RECENT EXAM(S) DISCUSSION!!!!!! A place for sixth formers to speak to others about work, A-levels, results, problems in education and general sixth form life, as well as university applications and UCAS.[Number theory proofs]
Need help with homework? We're here for you! The purpose of this subreddit is to help you learn (not complete your last-minute homework), and our rules are designed to reinforce this.The human race has built up its bank of mathematical laws like a 10 year old builds up his collection of pokemon cards - he accumulates thousands but only shows his friends the rarest, most important ones
How would you explain the Mandelbrot set to someone with no mathematical experience?
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Is this proof correct. The statement is at the top. n is a positive integer and 0<=k<=n-1

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[Maths: Analysis] can someone help with the last part? You need to use the top equation to do it.

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