755 prompts matching "Raising a 2 by 2 matrix to the third power"
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Common Mistakes: A surd equation that has no real solution
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Learn: What a binary operation actually is
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Quiz: Evaluating a*b from a given rule
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Practice: A binary operation set out as a table
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Spot My Mistake: A binary operation defined on a set of three elements
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Learn: What closure means for a binary operation
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Practice: Testing a set for closure under multiplication
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Spot My Mistake: Reading closure off an operation table
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Quiz: Reading commutativity off a symmetrical operation table
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Practice: An operation that is not commutative, with a counter-example
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Show All Working: An operation that is associative but not commutative
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Final Revision: Why brackets matter when an operation is not associative
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