718 prompts matching "Showing that AB and BA are usually different for 2 by 2 matrices"
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Learn: What an identity element is
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Show All Working: An element with no inverse under a given operation
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Why any non-zero number to the power nought is one
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Common Mistakes: Writing a root as a fractional index before simplifying
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Common Mistakes: An indicial equation solved by substitution
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Learn: The definition of a logarithm as the index
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Learn: The law for the logarithm of a product
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Show All Working: Solving a simple logarithmic equation
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Show All Working: Deciding whether a given number is a term of a sequence
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Learn: What makes a sequence an arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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Common Mistakes: An arithmetic progression with a negative common difference
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Learn: The formula for the sum of the first n terms of an arithmetic progression
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Show All Working: The sum of the terms lying between two given positions
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Common Mistakes: Proving the sum formula by pairing the terms
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Learn: What makes a sequence a geometric progression
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Show All Working: A geometric progression with a fractional common ratio
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Common Mistakes: Inserting a geometric mean between two numbers
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Learn: The formula for the sum of the first n terms of a geometric progression
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