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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Learn: What makes an expression in the roots symmetric"

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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

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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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Learn: Solving two simultaneous equations by Cramer's rule

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

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Learn: The order of the steps in inverting a 3 by 3 matrix

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Practice: What a singular coefficient matrix says about the equations

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WAEC Prep: A particle, and what the word assumes

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WAEC Prep: A rigid body, and what the word assumes

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

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WAEC Prep: The angle the resultant makes with the larger of two forces

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Learn: The resultant of two perpendicular forces

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Explain Back: The forces acting on a body hanging from two strings

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Explain Back: The order in which the forces are drawn round the triangle

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Explain Back: Why the total moment about any point must be nought

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Learn: Choosing the point about which to take moments

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