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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,293 prompts matching "Proving a surd statement is true or false"

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Worked Example: The associative law for the product of three matrices

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Worked Example: Taking a common factor out of a matrix

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

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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

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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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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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

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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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WAEC Prep: When Cramer's rule is quicker than elimination

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Worked Example: Forming the determinant Dy by replacing the second column

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

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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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Practice: Turning a minor into a cofactor with the sign rule

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Explain Back: Writing out the full matrix of cofactors

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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