1,045 prompts matching "Assuming AB and BA give the same matrix"
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Common Mistakes: Using the factor theorem before dividing
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Explain Back: A polynomial with a repeated linear factor
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Spot My Mistake: Factorising the sum of two cubes
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Common Mistakes: Factorising fully, and knowing when to stop
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Explain Back: A cubic with a repeated root
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Spot My Mistake: Finding the remaining roots once one is known
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Quiz: The truth value of a simple proposition
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Spot My Mistake: The negation of a proposition
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Worked Example: Conjunction in a three-variable truth table
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Learn: The conditional statement, if p then q
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Spot My Mistake: The contrapositive of a conditional
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Show All Working: Why a conditional and its converse are not equivalent
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Quiz: The biconditional as two conditionals taken together
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Show All Working: The distributive laws in logic
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Common Mistakes: Simplifying a compound statement using the laws
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Explain Back: Showing that a statement is a contradiction
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Spot My Mistake: The law of the excluded middle
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Show All Working: The negation of a tautology
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Common Mistakes: Deciding between tautology, contradiction and contingency
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