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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,155 prompts matching "IGCSE Additional Maths Y11: How much working a 'show that' question needs — Work"

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Worked Example: Taking a common factor out of a matrix

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Quiz: Multiplying a matrix by minus one

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Explain Back: Why the order of the letters matters in a matrix product

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Spot My Mistake: Orders that make a product possible one way round but not the other

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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

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Worked Example: A singular matrix, and why it has no inverse

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Explain Back: The order of the answer when two matrices are multiplied

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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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Spot My Mistake: Forming the determinant Dx by replacing the first column

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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

I have just studied what a coefficient determinant of nought says about the system in my S

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Quiz: Arranging the equations in standard form before applying Cramer's rule

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