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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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350 prompts matching "Solve 3x^2 - 5x - 2 = 0 by factorisation"

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

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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Worked Example: Forming the determinant Dy by replacing the second 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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WAEC Prep: The minor of an entry of a 3 by 3 matrix

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

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

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

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WAEC Prep: The inverse of a 2 by 2 matrix with a fractional determinant

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WAEC Prep: The inverse of a 2 by 2 matrix as one over the determinant times the adjoint

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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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WAEC Prep: How long the inverse of a 3 by 3 matrix takes, and how to shorten it

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WAEC Prep: Checking the determinant before attempting a 3 by 3 inverse

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WAEC Prep: The inverse of a 3 by 3 matrix from its adjoint and its determinant

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

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Quiz: Checking a 3 by 3 inverse by multiplication

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