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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "WAEC question on maximum and minimum values from curves"

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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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Spot My Mistake: Why matrix subtraction is not commutative

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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

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Worked Example: A singular matrix, and why it has no inverse

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

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Learn: The effect on a determinant of swapping two rows

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Learn: Solving two simultaneous equations by Cramer's rule

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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

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

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Worked Example: The units of mass, and the SI unit

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Learn: Inertia, and what mass actually measures

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Learn: Converting a weight given in kilogram-force into newtons

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Spot My Mistake: Compounding three forces acting at one point

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Spot My Mistake: The greatest and the least resultant of two given forces

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Learn: The component of a force along a stated direction

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Learn: A space diagram and a force diagram drawn side by side

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Learn: What an unclosed polygon of forces tells you

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Spot My Mistake: Why friction does not depend on the area of contact

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