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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,276 prompts matching "Learn: What a sequence is, and what a term means"

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

Spot My Mistake: Squaring a 2 by 2 matrix

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

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Spot My Mistake: Orders that make a product possible one way round but not the other

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Quiz: Solving AX equals B and XA equals B by different routes

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Spot My Mistake: A symmetric matrix, equal to its own transpose

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

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

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

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

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

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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

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Spot My Mistake: Why the inverse must be applied on the correct side

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

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Spot My Mistake: Compounding three forces acting at one point

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

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

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Practice: Limiting friction, and the greatest value it can reach

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Spot My Mistake: Why friction does not depend on the area of contact

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