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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"

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Worked Example: Adding two 3 by 3 matrices

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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: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

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Worked Example: The associative law for the product of three matrices

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Worked Example: Taking a common factor out of a matrix

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Practice: The transpose of a 2 by 3 matrix

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Worked Example: A singular matrix, and why it has no inverse

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Practice: The condition on the orders for a product to exist

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Practice: Evaluating AB minus BA

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Learn: Solving two simultaneous equations by Cramer's rule

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

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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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Worked Example: The weight of a body as mass times g

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

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Practice: The parallelogram law of forces

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Worked Example: The direction of the resultant of two forces

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