1,093 prompts matching "When to use permutations versus combinations"
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Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
Quiz me on recognising which command word fits a blank exam question
I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g
Quiz: The zero matrix as the identity for matrix addition
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Spot My Mistake: Why matrix subtraction is not commutative
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Quiz: Solving a matrix equation of the form A plus X equals B
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Spot My Mistake: Squaring a 2 by 2 matrix
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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Learn: The distributive law for a scalar over a sum of matrices
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Quiz: Multiplying a matrix by minus one
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Spot My Mistake: Orders that make a product possible one way round but not the other
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Quiz: Solving AX equals B and XA equals B by different routes
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Learn: Deciding whether a stated matrix calculation is possible at all
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Quiz: Finding an unknown entry from a stated matrix equation
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Learn: The effect on a determinant of swapping two rows
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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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Spot My Mistake: Forming the determinant Dx by replacing the first column
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Learn: Solving two simultaneous equations by Cramer's rule
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Spot My Mistake: Checking a Cramer's rule solution by substituting back
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Quiz: Arranging the equations in standard form before applying Cramer's rule
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