Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,235 prompts matching "A tautology used to justify a rule of algebra"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Subscribe to unlock allSpot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Subscribe to unlock allWAEC past-question practice: matrices #4
I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix
Subscribe to unlock allEvaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
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 #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
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 allSpot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allWAEC past-question practice: determinants #5
I am in SS 3. Set a WAEC Further Mathematics multi-part question: (a) evaluate a 3x3 deter
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 allSolve 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
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 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
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