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Senior Secondary

Further Mathematics

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1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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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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Quiz: Checking an inverse by multiplying to get the identity

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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: The parallelogram law of forces

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Spot My Mistake: Compounding three forces acting at one point

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

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Quiz: A rod resting against a wall, and the concurrence of its three forces

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Practice: Resolving three forces in two perpendicular directions

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Spot My Mistake: The probability of exactly r successes in n trials

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Practice: The probability of at least one success

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Worked Example: The probability of no events at all in a Poisson distribution

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Quiz: The area under the normal curve, and what it represents

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Worked Example: The continuity correction when approximating a discrete distribution

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Spot My Mistake: Drawing a vector as a directed line segment

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