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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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775 prompts matching "Checking a conjugate answer by multiplying back"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Worked Example: Adding two 3 by 3 matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding

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Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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Practice: The transpose of a 2 by 3 matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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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

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a

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Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua

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Worked Example: Forming the determinant Dy by replacing the second column

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on formin

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Learn: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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Explain Back: What a coefficient determinant of nought says about the system

I have just studied what a coefficient determinant of nought says about the system in my S

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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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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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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