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Senior Secondary

Further Mathematics

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1,318 prompts matching "Rationalising and then cancelling a common factor"

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Quiz: Checking an inverse by multiplying to get the identity

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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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Explain Back: The inverse of a diagonal matrix

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Quiz: Solving three simultaneous equations with the inverse matrix

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Worked Example: Checking the solution of three equations by substitution

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Quiz: Why mass stays the same wherever the body is taken

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

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

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Explain Back: The resultant of two forces acting in the same straight line

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Worked Example: The direction of the resultant of two forces

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Learn: The resultant of two perpendicular forces

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Learn: The component of a force along a stated direction

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Quiz: Recovering the original force from its two components

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Quiz: The magnitude of the resultant of several coplanar forces

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Explain Back: Showing that a system of concurrent forces is in equilibrium

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Explain Back: The forces acting on a body hanging from two strings

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Worked Example: Using the sine rule on the triangle of forces

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