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Senior Secondary

Further Mathematics

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1,334 prompts matching "Sum and product of roots of a cubic exam question"

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Explain Back: Why the order of the letters matters in a matrix product

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Explain Back: The rule that the transpose of a product reverses the order

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Worked Example: A singular matrix, and why it has no inverse

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Explain Back: The determinant of a product as the product of the determinants

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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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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Worked Example: The direction of the resultant of two forces

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Spot My Mistake: The greatest and the least resultant of two given forces

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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

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Worked Example: Drawing the polygon of forces to scale

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

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Explain Back: The units of a moment, and why they are newton metres

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

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

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Worked Example: Matching each force to the sine of the angle opposite it

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Learn: The expectation of a discrete random variable

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