Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "Checking an inverse by working the operation both ways"
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Spot My Mistake: Checking a Cramer's rule solution by substituting back
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Subscribe to unlock allPractice: Why a 2 by 2 matrix with determinant nought cannot be inverted
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Subscribe to unlock allLearn: The order of the steps in inverting a 3 by 3 matrix
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Subscribe to unlock allPractice: Comparing the inverse method with elimination for three equations
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Subscribe to unlock allLearn: A space diagram and a force diagram drawn side by side
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Subscribe to unlock allLearn: Finding two unknown forces by Lami's theorem
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Subscribe to unlock allWorked Example: Finding a value from a given probability by working backwards
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Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allFind the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Subscribe to unlock allFind the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Subscribe to unlock allFind the inverse of a 2x2 matrix #5
Give me a 2x2 matrix like A=[[3,2],[5,4]] and ask me to find its inverse using the determi
Subscribe to unlock allVerify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Subscribe to unlock allSolve 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
Subscribe to unlock allSolve 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
Subscribe to unlock allSolve 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
Subscribe to unlock allSolve 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
Subscribe to unlock allShow all working: combined binomial and normal question
I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia
Subscribe to unlock allShow all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
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