Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →844 prompts matching "Full worked exam-style problem combining gradient, distance and midpoint"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the inverse of a 2x2 matrix #4
Give me a 2x2 matrix like A=[[6,-1],[2,4]] and ask me to find its inverse using the determ
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 allFind the inverse of a 3x3 matrix using cofactors #2
I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through
Subscribe to unlock allFind the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
Subscribe to unlock allExplain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Subscribe to unlock allExplain 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
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 allShow all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
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 allWAEC 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
Subscribe to unlock allWAEC past-question practice: inverse matrices #2
I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac
Subscribe to unlock allDefine mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Subscribe to unlock allDefine particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Subscribe to unlock allTeach me the basics of force, mass and weight
I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I
Subscribe to unlock allFind the resultant of two forces #4
I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as
Subscribe to unlock allResolve a force into horizontal and vertical components #3
I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to
Subscribe to unlock allFind the resultant of several concurrent forces #3
I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
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