582 prompts matching "Setting out Cramer's rule for three simultaneous equations"
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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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Worked Example: Testing whether star distributes over plus
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Explain Back: Showing distributivity fails by a counter-example
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Spot My Mistake: Checking distributivity from two operation tables
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Learn: What an identity element is
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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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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Learn: Reading index notation, the base and the exponent
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Learn: Why any non-zero number to the power nought is one
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Spot My Mistake: A negative fractional index
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