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Senior Secondary

Further Mathematics

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1,302 prompts matching "An operation that is associative but not commutative"

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Quiz: Multiplying a matrix by minus one

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Practice: A diagonal matrix

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Practice: Evaluating AB minus BA

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Practice: Turning a minor into a cofactor with the sign rule

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Quiz: Checking a 3 by 3 inverse by multiplication

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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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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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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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Quiz: The coefficient of friction between two surfaces

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

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Worked Example: The total moment of three parallel forces about one end

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Practice: Resolving three forces in two perpendicular directions

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Practice: The probability of at least one success

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Worked Example: Finding a value from a given probability by working backwards

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