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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Why a rational number added to an irrational one stays irrational"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Learn: The effect on a determinant of swapping two rows

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Explain Back: The determinant of a product as the product of the determinants

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

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Quiz: Solving three simultaneous equations with the inverse matrix

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

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Learn: Inertia, and what mass actually measures

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Learn: Converting a weight given in kilogram-force into newtons

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Explain Back: The resultant of two forces acting in the same straight line

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Spot My Mistake: Compounding three forces acting at one point

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Worked Example: The direction of the resultant of two forces

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Learn: The resultant of two perpendicular forces

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