1,331 prompts matching "An element with no inverse under a given operation"
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Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Scalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Find the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Quiz me on equilibrium conditions
I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili
Teach me the Poisson distribution from scratch
I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia
Learn: Simplifying a surd by extracting the largest perfect square
You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti
Learn: The sum of the roots of a cubic read from its coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi
Learn: Two particles joined by a light inextensible string over a smooth pulley
You are my personal SS3 Further Mathematics tutor. Teach me two particles joined by a ligh
Learn: The defining equation of simple harmonic motion
You are my personal SS3 Further Mathematics tutor. Teach me the defining equation of simpl
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Domain of a simple algebraic function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Testing whether a relation is a function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test
Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Piecewise-style simple function evaluation
I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha
Quiz me rapid-fire on evaluating functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a ra
Comparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Structured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
Give me a full Additional Maths style Paper 1 question set
I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques