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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Teach me converse and inverse propositions"

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Worked Example: Taking a common factor out of a matrix

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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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Explain Back: The order of the answer when two matrices are multiplied

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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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Worked Example: Forming the determinant Dy by replacing the second column

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Explain Back: What a coefficient determinant of nought says about the system

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Explain Back: Writing out the full matrix of cofactors

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The direction of the resultant of two 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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Explain Back: The order in which the forces are drawn round the triangle

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Worked Example: Drawing the polygon of forces to scale

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Explain Back: Locating the point of concurrence on a diagram

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Explain Back: A particle hanging from two strings set at different angles

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

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