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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Discriminant and the nature of roots"

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Quiz: Solving AX equals B and XA equals B by different routes

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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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Learn: Deciding whether a stated matrix calculation is possible at all

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WAEC Prep: A matrix expression with brackets to expand

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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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WAEC Prep: Expanding a 3 by 3 determinant down a column

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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WAEC Prep: Setting out the coefficient determinant for two simultaneous equations

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

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

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Quiz: Checking an inverse by multiplying to get the identity

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WAEC Prep: Checking the determinant before attempting a 3 by 3 inverse

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Spot My Mistake: Why the inverse must be applied on the correct side

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Practice: What a singular coefficient matrix says about the equations

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WAEC Prep: When the matrix method is worth the work for three unknowns

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Quiz: Solving three simultaneous equations with the inverse matrix

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Practice: Comparing the inverse method with elimination for three equations

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WAEC Prep: Mass, and how it differs from weight

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