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Senior Secondary

Further Mathematics

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1,334 prompts matching "A conditional statement set in an everyday situation"

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Learn: Deciding whether a stated matrix calculation is possible at all

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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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Learn: The order of the steps in inverting a 3 by 3 matrix

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Quiz: Checking a 3 by 3 inverse by multiplication

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

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Spot My Mistake: Compounding three forces acting at one point

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Learn: The resultant of two perpendicular forces

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

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Quiz: The magnitude of the resultant of several coplanar forces

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Practice: The direction of the resultant of several coplanar forces

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Learn: A space diagram and a force diagram drawn side by side

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

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