1,332 prompts matching "Mixed sequence exam question, arithmetic and geometric"
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Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
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Learn: The distributive law for a scalar over a sum of matrices
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Quiz: Multiplying a matrix by minus one
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Spot My Mistake: Orders that make a product possible one way round but not the other
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Practice: The transpose of a 2 by 3 matrix
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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Practice: A diagonal matrix
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Practice: The condition on the orders for a product to exist
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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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Quiz: Finding an unknown entry from a stated matrix equation
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Learn: The effect on a determinant of swapping two rows
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Practice: The sign pattern of the cofactors in a 3 by 3 determinant
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Spot My Mistake: Forming the determinant Dx by replacing the first column
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Learn: Solving two simultaneous equations by Cramer's rule
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Spot My Mistake: Checking a Cramer's rule solution by substituting back
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Practice: Turning a minor into a cofactor with the sign rule
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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix
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Quiz: Checking an inverse by multiplying to get the identity
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