1,200 prompts matching "Structured question: composite function with a restricted domain"
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Explain Back: Why the order of the letters matters in a matrix product
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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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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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Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Explain Back: Solving a matrix equation containing both a sum and a product
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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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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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Explain Back: What a coefficient determinant of nought says about the system
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Explain Back: Writing out the full matrix of cofactors
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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly
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Worked Example: The identity that A times its adjoint gives the determinant times the identity
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Explain Back: The inverse of a diagonal matrix
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Explain Back: Solving two simultaneous equations by multiplying by the inverse
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