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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,002 prompts matching "Comparing a line arrangement with a circular one"

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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

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Spot My Mistake: Forming the determinant Dx by replacing the first column

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

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Learn: Solving two simultaneous equations by Cramer's rule

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Quiz: Arranging the equations in standard form before applying Cramer's rule

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

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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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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Spot My Mistake: Why the inverse must be applied on the correct side

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Worked Example: Checking the solution of three equations by substitution

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Worked Example: The units of mass, and the SI unit

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Learn: Inertia, and what mass actually measures

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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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