569 prompts matching "Quiz: Multiplying a matrix by minus one"
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
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Spot My Mistake: Reading closure off an operation table
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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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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Worked Example: Testing whether star distributes over plus
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Spot My Mistake: Checking distributivity from two operation tables
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Show All Working: Using distributivity to simplify an expression
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Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Explain Back: What an inverse element is
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Spot My Mistake: Finding the inverse of a given element
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Show All Working: An element with no inverse under a given operation
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Final Revision: Identity and inverse together, and what they give the set
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics