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Further Mathematics

AI prompts for senior secondary learners.

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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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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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

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Learn: The effect on a determinant of swapping two rows

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

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

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Learn: Converting a weight given in kilogram-force into newtons

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Learn: The resultant of two perpendicular forces

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Learn: The component of a force along a stated direction

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Learn: A space diagram and a force diagram drawn side by side

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Learn: What an unclosed polygon of forces tells you

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Learn: Finding two unknown forces by Lami's theorem

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Learn: The expectation of a discrete random variable

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Learn: Finding the coefficient of a stated power in an expansion

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Learn: The standard deviation of a binomial distribution

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Learn: The probability that a normal variable lies between two values

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Learn: The unit vectors i, j and k

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Learn: Subtracting one vector from another

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Learn: The angle between a vector and one of the axes

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Learn: The real and the imaginary parts of a complex number

You are my personal SS3 Further Mathematics tutor. Teach me the real and the imaginary par

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