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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,301 prompts matching "A savings problem modelled by an arithmetic progression"

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Practice: The transpose of a 2 by 3 matrix

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

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WAEC Prep: The determinant of a 2 by 2 matrix as ad minus bc

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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WAEC Prep: The determinant of a 3 by 3 matrix with two equal rows

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WAEC Prep: Expanding a 3 by 3 determinant down a column

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WAEC Prep: Expanding a 3 by 3 determinant along the first row

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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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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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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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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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