991 prompts matching "Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts"
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Teach me dividing complex numbers by rationalising with the conjugate
You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi
Quiz me on complex number operations
Act as my SS2 Further Maths tutor. Quiz me with five questions on adding, subtracting, mul
Teach me finding the determinant of a 2x2 matrix
Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an
Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
Quiz me on matrix operations
Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting and
Spot my mistake multiplying a two by two matrix by a two by one matrix
Act as my SS2 Further Mathematics tutor. Work a question on multiplying a two by two matri
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Quiz me on mean and standard deviation
Act as my SS2 Further Maths tutor. Quiz me with three data sets and ask me to calculate th
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=
Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0
Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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