1,043 prompts matching "Why one component vanishes when the direction is chosen well"
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Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
Quiz me on matrix operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting and
Give me practice on matrices
Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de
WAEC question on matrices
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ma
Quiz me on vector operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and
Give me practice on vectors
Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn
Explain vectors back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add vectors and fin
WAEC question on vectors
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ve
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Quiz me on mean and standard deviation
Act as my SS2 Further Maths tutor. Quiz me with three data sets and ask me to calculate th
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Give your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
WAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th