1,334 prompts matching "Test me under exam conditions on the binomial theorem"
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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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Learn: The effect on a determinant of swapping two rows
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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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Spot My Mistake: Checking cofactors by expanding the determinant along a second row
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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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Quiz: Solving three simultaneous equations with the inverse matrix
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Quiz: Why mass stays the same wherever the body is taken
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Learn: The component of a force along a stated direction
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Quiz: Recovering the original force from its two components
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Practice: Choosing the most convenient pair of directions to resolve along
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Practice: The direction of the resultant of several coplanar forces
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Practice: Why the forces must sum to nought in two perpendicular directions
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Learn: Choosing the point about which to take moments
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Quiz: The coefficient of friction between two surfaces
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Spot My Mistake: Why friction does not depend on the area of contact
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Learn: The algebraic sum of moments when the senses differ
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Quiz: The point about which the total moment of a set of forces vanishes
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