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Further Mathematics

AI prompts for senior secondary learners.

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1,321 prompts matching "Why root 8 and root 2 turn out to be similar"

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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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Worked Example: Taking a common factor out of a matrix

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Quiz: Solving AX equals B and XA equals B by different routes

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WAEC Prep: Writing the transpose of a matrix by turning rows into columns

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WAEC Prep: Stating the order of a product before working it out

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WAEC Prep: Why the cofactor signs alternate

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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

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

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WAEC Prep: The two conditions for a rigid body to be in equilibrium

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Learn: Choosing the point about which to take moments

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Worked Example: The total moment of three parallel forces about one end

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Quiz: The point about which the total moment of a set of forces vanishes

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WAEC Prep: Why three non-parallel forces in equilibrium must be concurrent

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WAEC Prep: The conditions for a particle under three forces to be in equilibrium

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Spot My Mistake: Why the probabilities in a distribution must sum to one

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WAEC Prep: Why the total area under the normal curve is one

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WAEC Prep: The distance between two points from their position vectors

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WAEC Prep: The angle between two three-dimensional vectors

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WAEC Prep: Finding the angle between two vectors from their dot product

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