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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "Practice: Deciding whether root 16 is rational or irrational"

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Worked Example: The associative law for the product of three matrices

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Worked Example: Taking a common factor out of a matrix

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Worked Example: A singular matrix, and why it has no inverse

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

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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

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WAEC Prep: When Cramer's rule is quicker than elimination

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Worked Example: Forming the determinant Dy by replacing the second column

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

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

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

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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WAEC Prep: The newton, and how it is defined

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Worked Example: The weight of a body as mass times g

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Worked Example: The direction of the resultant of two forces

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WAEC Prep: Why one component vanishes when the direction is chosen well

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Quiz: Recovering the original force from its two components

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Quiz: The magnitude of the resultant of several coplanar forces

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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