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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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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

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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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

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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

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

I have just studied finding the adjoint of a 2 by 2 matrix quickly in my SS3 Further Mathe

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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

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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