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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,242 prompts matching "Using change of base to prove a stated relation"

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Practice: Evaluating AB minus BA

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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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: When Cramer's rule is quicker than elimination

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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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Learn: Solving two simultaneous equations by Cramer's rule

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

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking the deter

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Quiz: Checking a 3 by 3 inverse by multiplication

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WAEC Prep: Simultaneous equations with fractional coefficients solved by matrix

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Explain Back: Solving two simultaneous equations by multiplying by the 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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