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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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916 prompts matching "De Morgan's laws for sets"

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

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

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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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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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Quiz: Arranging the equations in standard form before applying Cramer's rule

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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Quiz: Checking an inverse by multiplying to get the identity

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

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Learn: The order of the steps in inverting a 3 by 3 matrix

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

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Practice: Comparing the inverse method with elimination for three equations

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Practice: The parallelogram law of forces

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Explain Back: The resultant of two forces acting in the same straight line

I have just studied the resultant of two forces acting in the same straight line in my SS3

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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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Quiz: Recovering the original force from its two components

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Practice: The direction of the resultant of several coplanar forces

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Explain Back: Showing that a system of concurrent forces is in equilibrium

I have just studied showing that a system of concurrent forces is in equilibrium in my SS3

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