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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,245 prompts matching "work, energy and power"

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Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

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Learn: The distributive law for a scalar over a sum of 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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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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Practice: A diagonal matrix

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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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Practice: Evaluating AB minus BA

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Learn: The effect on a determinant of swapping two rows

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

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Spot My Mistake: Forming the determinant Dx by replacing the first column

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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: Finding the adjoint of a 3 by 3 matrix

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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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