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Further Mathematics

AI prompts for senior secondary learners.

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1,322 prompts matching "Quiz: Finding the nth term of a linear sequence"

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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WAEC Prep: Subtracting one 2 by 2 matrix from another

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WAEC Prep: Raising a 2 by 2 matrix to the third power

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WAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix

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WAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix

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Spot My Mistake: Orders that make a product possible one way round but not the other

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WAEC Prep: The identity matrix, and what it does in a product

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Practice: The condition on the orders for a product to exist

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Learn: Deciding whether a stated matrix calculation is possible at all

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

I have just studied solving two simultaneous equations by multiplying by the inverse in my

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Spot My Mistake: Why the inverse must be applied on the correct side

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Practice: What a singular coefficient matrix says about the equations

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WAEC Prep: When the matrix method is worth the work for three unknowns

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Practice: Comparing the inverse method with elimination for three equations

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WAEC Prep: A particle, and what the word assumes

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WAEC Prep: A rigid body, and what the word assumes

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WAEC Prep: The difference between a kilogram and a kilogram weight

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WAEC Prep: The newton, and how it is defined

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