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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,333 prompts matching "Laws of indices with three different bases in one line"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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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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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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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

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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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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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Explain Back: The inverse of a diagonal matrix

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Practice: The value of g used in Nigerian examination papers

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

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Practice: Choosing the most convenient pair of directions to resolve along

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

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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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