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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "IGCSE Additional Maths Y11: The rate at which the volume of a cone changes — Exp"

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

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

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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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WAEC Prep: Setting out the coefficient determinant for two simultaneous equations

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

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Explain Back: What a coefficient determinant of nought says about the system

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

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WAEC Prep: Why the cofactor signs alternate

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WAEC Prep: The minor of an entry of a 3 by 3 matrix

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Explain Back: Writing out the full matrix of cofactors

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WAEC Prep: The adjoint of the identity matrix

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WAEC Prep: The adjoint as the transpose of the matrix of cofactors

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

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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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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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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