1,334 prompts matching "Test me under exam conditions on permutations and combinations"
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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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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Practice: A diagonal matrix
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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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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
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Quiz: Checking a 3 by 3 inverse by multiplication
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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: Converting a weight given in kilogram-force into newtons
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Spot My Mistake: Compounding three forces acting at one point
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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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