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Further Mathematics

AI prompts for senior secondary learners.

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1,309 prompts matching "Writing down the roots once the brackets are found"

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

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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WAEC Prep: Evaluating A squared minus 2A

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through evaluating A squar

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WAEC Prep: A matrix expression with brackets to expand

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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WAEC Prep: Expanding a 3 by 3 determinant down a column

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through expanding a 3 by 3

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

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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WAEC Prep: Writing two simultaneous equations as a single matrix equation

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

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WAEC Prep: Writing three simultaneous equations as a single matrix equation

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Spot My Mistake: The greatest and the least resultant of two given forces

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Learn: The component of a force along a stated direction

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