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Senior Secondary

Further Mathematics

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1,333 prompts matching "Why a rational number added to an irrational one stays irrational"

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Quiz: Solving a matrix equation of the form A plus X equals B

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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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Worked Example: The associative law for the product of three matrices

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Learn: The distributive law for a scalar over a sum of matrices

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

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

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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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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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Quiz: The coefficient of friction between two surfaces

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Spot My Mistake: The moment of a force whose line of action is not perpendicular

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Worked Example: The moment of a force about a point on its own line of action

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Learn: The algebraic sum of moments when the senses differ

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

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Learn: Finding two unknown forces by Lami's theorem

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

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Quiz: The situations a Poisson distribution models

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