Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,327 prompts matching "The law for multiplying powers of the same base"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Multiply matrices step by step #1
Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth
Subscribe to unlock allMultiply matrices step by step #4
Show me how to multiply A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1,2,3],[0,1,-1]] using
Subscribe to unlock allMultiply matrices step by step #5
Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth
Subscribe to unlock allExplain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Subscribe to unlock allWhy 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 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 #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 allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allSolve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Subscribe to unlock allWAEC past-question practice: determinants #2
I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu
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 allSpot 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
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 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 allSolve a binomial probability problem #3
I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin
Subscribe to unlock allSolve a binomial probability problem #5
I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili
Subscribe to unlock allSpot my mistake taking moments about a pivot
I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron
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