1,170 prompts matching "Spot my mistake calculating standard deviation"
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Practice: The transpose of a 2 by 3 matrix
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Explain Back: The rule that the transpose of a product reverses the order
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Practice: A diagonal matrix
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Worked Example: A singular matrix, and why it has no inverse
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Practice: The condition on the orders for a product to exist
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Explain Back: The order of the answer when two matrices are multiplied
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Learn: Deciding whether a stated matrix calculation is possible at all
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Practice: Evaluating AB minus BA
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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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Learn: The effect on a determinant of swapping two rows
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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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Practice: The sign pattern of the cofactors in a 3 by 3 determinant
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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
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Worked Example: Forming the determinant Dy by replacing the second column
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Learn: Solving two simultaneous equations by Cramer's rule
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Explain Back: What a coefficient determinant of nought says about the system
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