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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "Learn: Telling a rational number from an irrational one"

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Spot My Mistake: Squaring a 2 by 2 matrix

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Practice: A 2 by 2 matrix multiplied by a column vector

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

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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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Practice: A diagonal matrix

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Practice: The condition on the orders for a product to exist

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Practice: Evaluating AB minus BA

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

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

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Practice: What a singular coefficient matrix says about the equations

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Practice: Comparing the inverse method with elimination for three equations

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Worked Example: Checking the solution of three equations by substitution

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

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Practice: The parallelogram law of forces

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Practice: Choosing the most convenient pair of directions to resolve along

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

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Worked Example: Drawing the polygon of forces to scale

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