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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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65 prompts matching "The inverse of an inverse"

Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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Spot my mistake finding an inverse function

I will show you my working for finding the inverse of a function. Check whether I correctl

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Solve simultaneous equations using an inverse matrix #1

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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Show All Working: An element with no inverse under a given operation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an element with

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IGCSE Additional Maths Y10: Showing that f of f inverse of x gives x back — Common Mistakes

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

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IGCSE Additional Maths Y10: Solving f of x equals f inverse of x — Exam Technique

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Spot my mistake finding a matrix inverse

Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made

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Teach me inverse functions

Teach me how to find the inverse of a function f(x), including how to state its domain cor

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Structured question: find f^-1(x) and verify it

Set me a structured question where I find the inverse of a given function, then verify my

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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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Give me an exam formula sheet for functions

I am in SS 3. Build me a short formula sheet covering every formula I need for composite a

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Give me a past-paper style question bank for functions

I am in SS 3. Give me a bank of four exam-style questions on composite and inverse functio

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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WAEC past-question practice: inverse matrices #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a

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