1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Multi-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
Structured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Learn: Converting a weight given in kilogram-force into newtons
You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k
Learn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
Learn: Choosing the point about which to take moments
You are my personal SS3 Further Mathematics tutor. Teach me choosing the point about which
Learn: The algebraic sum of moments when the senses differ
You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w
Learn: Finding two unknown forces by Lami's theorem
You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by
Learn: The coordinates of a point in three dimensions
You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in
Learn: The magnitude of a three-dimensional vector
You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen
Learn: The cube roots of unity
You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki
Learn: Differentiating sin of a multiple of x
You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi
Learn: Integrating a polynomial term by term
You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term
Learn: Newton's second law written as F equals ma
You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as
Learn: The kinetic energy of a moving body
You are my personal SS3 Further Mathematics tutor. Teach me the kinetic energy of a moving
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Show all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
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
Explain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
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