1,014 prompts matching "A singular matrix, and why it has no inverse"
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the modulus and argument of 3+4i
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the inverse of [[2,1],[5,3]]
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find a+b where a=(2,-1) and b=(-3,5)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Give me a 5-minute recap of indices and surds
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co
Give me a 5-minute recap of sequences and series
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of sequences and series,
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
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
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
Worked Example: Factorising a quadratic whose leading coefficient is not one
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Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee