1,331 prompts matching "Which form of the sum formula to use when r is less than one"
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Structured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Structured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Structured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Learn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
Learn: Inertia, and what mass actually measures
You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall
Learn: A space diagram and a force diagram drawn side by side
You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di
Learn: Finding lambda from a stated mean
You are my personal SS3 Further Mathematics tutor. Teach me finding lambda from a stated m
Learn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term
Learn: Finding displacement by integrating velocity
You are my personal SS3 Further Mathematics tutor. Teach me finding displacement by integr
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
Multiply matrices step by step #3
I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-
Multiply 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
Multiply 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
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Spot 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
Evaluate 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
Evaluate 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