1,324 prompts matching "Distributivity on a set of three elements"
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Spot My Mistake: Orders that make a product possible one way round but not the other
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Practice: A diagonal matrix
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Practice: The condition on the orders for a product to exist
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Learn: Deciding whether a stated matrix calculation is possible at all
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Explain Back: Solving a matrix equation containing both a sum and a product
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Quiz: Finding an unknown entry from a stated matrix equation
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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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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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Quiz: Checking a 3 by 3 inverse by multiplication
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Explain Back: Solving two simultaneous equations by multiplying by the inverse
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Spot My Mistake: Why the inverse must be applied on the correct side
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Practice: What a singular coefficient matrix says about the equations
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Learn: Converting a weight given in kilogram-force into newtons
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Quiz: Recovering the original force from its two components
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Explain Back: The forces acting on a body hanging from two strings
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Practice: Why the forces must sum to nought in two perpendicular directions
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Practice: Finding an unknown force from a closed polygon
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Practice: Limiting friction, and the greatest value it can reach
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