Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Sum and product of roots of a cubic exam question"
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Learn: Why two matrices can be added only when their orders match
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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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Subscribe to unlock allSpot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
Subscribe to unlock allPractice: 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
Subscribe to unlock allSpot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Subscribe to unlock allQuiz: Multiplying a matrix by minus one
Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Subscribe to unlock allPractice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Subscribe to unlock allLearn: 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
Subscribe to unlock allPractice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Subscribe to unlock allQuiz: Finding an unknown entry from a stated matrix equation
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Subscribe to unlock allSpot My Mistake: Forming the determinant Dx by replacing the first column
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Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
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Subscribe to unlock allSpot My Mistake: Checking a Cramer's rule solution by substituting back
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Subscribe to unlock allQuiz: Checking an inverse by multiplying to get the identity
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Subscribe to unlock allPractice: 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
Subscribe to unlock allQuiz: Checking a 3 by 3 inverse by multiplication
Act as my SS3 Further Mathematics tutor and quiz me on checking a 3 by 3 inverse by multip
Subscribe to unlock allSpot My Mistake: Why the inverse must be applied on the correct side
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Subscribe to unlock allPractice: What a singular coefficient matrix says about the equations
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