1,045 prompts matching "Learn: The effect on a determinant of swapping two rows"
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Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the determinant of [[5,2],[3,4]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Real-life application of the quadratic formula
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu
Real-life application of the remainder theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re
Real-life application of the binomial theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi
Real-life application of the factor theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the fa
Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Explain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose