1,045 prompts matching "Explain the adjoint of a matrix"
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Worked example: reading the solutions as points of intersection
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: find the equation of the line through (2,3) and (5,9)
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Real-life application of testing the validity of an argument
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Worked Example: Halving the coefficient of x and squaring it
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Worked Example: The product of the roots as c over a
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Worked Example: The degree of a polynomial in one variable
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Explain Back: Evaluating P of 2 for a given polynomial
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Worked Example: The number of ways n people sit round a round table
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Worked Example: Reading the coefficients of an expansion off Pascal's triangle
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Worked Example: Finding the fifth term of an expansion
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