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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,068 prompts matching "Evaluating P of 2 for a given polynomial"

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

Quiz: Multiplying a matrix by minus one

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Spot My Mistake: Orders that make a product possible one way round but not the other

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Quiz: Solving AX equals B and XA equals B by different routes

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

Quiz: The zero matrix, and how it differs from nought in arithmetic

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Practice: A diagonal matrix

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Learn: Deciding whether a stated matrix calculation is possible at all

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Quiz: Finding an unknown entry from a stated matrix equation

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

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

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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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Practice: What a singular coefficient matrix says about the equations

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Quiz: Solving three simultaneous equations with the inverse matrix

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Learn: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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