1,032 prompts matching "Teach me Cramer's rule from first principles"
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Explain why Further Maths topics connect to each other
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Create flashcard questions for Further Maths topics
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Simplify the surd expression sqrt(72) + sqrt(18)
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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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 distance between the points (1,2) and (4,6)
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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: 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: solve x^2+4x+13=0 giving the roots as complex numbers
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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 the determinant of [[5,2],[3,4]]
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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
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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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