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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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703 prompts matching "A longer statement tested for tautology"

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

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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

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Practice: The transpose of a 2 by 3 matrix

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Spot My Mistake: A symmetric matrix, equal to its own transpose

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Quiz: The zero matrix, and how it differs from nought in arithmetic

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Practice: A diagonal matrix

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

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Practice: Evaluating AB minus BA

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Quiz: Finding an unknown entry from a stated matrix equation

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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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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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Practice: Turning a minor into a cofactor with the sign rule

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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

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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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