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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "A simultaneous pair in which the second equation is a circle"

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

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Practice: Turning a minor into a cofactor with the sign rule

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Explain Back: Writing out the full 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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Quiz: Checking an inverse by multiplying to get the identity

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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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Practice: The value of g used in Nigerian examination papers

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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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Spot My Mistake: The greatest and the least resultant of two given forces

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Quiz: Recovering the original force from its two components

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

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Explain Back: The forces acting on a body hanging from two strings

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Worked Example: Using the sine rule on the triangle of forces

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Practice: Why the forces must sum to nought in two perpendicular directions

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Explain Back: Why the total moment about any point must be nought

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