805 prompts matching "Practice: Combining two logarithms into one"
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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices
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Spot My Mistake: Squaring a 2 by 2 matrix
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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices
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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Worked Example: The associative law for the product of three matrices
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Worked Example: Taking a common factor out of a matrix
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Learn: The distributive law for a scalar over a sum of matrices
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Explain Back: Why the order of the letters matters in a matrix product
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Quiz: Solving AX equals B and XA equals B by different routes
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Explain Back: The rule that the transpose of a product reverses the order
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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Worked Example: A singular matrix, and why it has no inverse
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Learn: Deciding whether a stated matrix calculation is possible at all
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Explain Back: Solving a matrix equation containing both a sum and a product
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Quiz: Finding an unknown entry from a stated matrix equation
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Worked Example: What a determinant of nought means for a 2 by 2 matrix
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Explain Back: The determinant of a product as the product of the determinants
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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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