1,043 prompts matching "Learn: The distributive law for a scalar over a sum of matrices"
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Worked example: solving a quadratic with complex roots
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Explain complex numbers back to me
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Spot my mistake multiplying a two by two matrix by a two by one matrix
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Teach me what a vector is
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Teach me adding and subtracting vectors
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Quiz me on mean and standard deviation
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Give me practice on measures of dispersion
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Spot my mistake calculating standard deviation
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Give me a full mixed revision test
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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