1,014 prompts matching "A singular matrix, and why it has no inverse"
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Test me under exam conditions on sequences and series
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on se
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
Teach me finding the determinant of a 2x2 matrix
Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an
Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Find sum and product of roots of 2x^2 - 5x + 3 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of x^2 + 4x - 12 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of 3x^2 + 7x - 6 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Find sum and product of roots of x^2 - 8x + 15 = 0
Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp